S56 INSTRUCTOR AND DEVELOPMENTAL OBSERVE C340 PENETRATE CLASS B AIRSPACE AND CONFLICT WITH E120 AND BE20 OF SLC RWY 34R FINAL APCH COURSE.

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I WAS PROVIDING OJT AT THE SALT LAKE CITY TRACON (S56). WHILE CONDUCTING OJT; I OBSERVED A TARGET; NON TAGGED; IN THE VICINITY OF THE ILS RWY 34R LOC COURSE FOR SLC ARPT CLBING THROUGH 9500 FT IN CLASS B AIRSPACE WITHOUT AN ATC CLRNC. I TRIED TO IDENT THE ACFT AND SEE IF SOMEONE HAD GIVEN THEM A DISCRETE BEACON CODE. WE WERE SEQUENCING NUMEROUS ACFT ON THE RWY 34R LOC AT THE TIME. THE UNTAGGED TARGET CONTINUED TO CLB THROUGH CLASS B AIRSPACE WITHOUT A CLRNC AND BECAME A CONFLICT WITH IFR ACFT. TFC WAS ISSUED TO AN ACR E120 (ACFT X) JOINING THE LOC AT 10000 FT MSL. THE UNTAGGED TARGET PASSED OFF THE R SIDE OF THE E120 WITH LESS THAN 3 MI OF LATERAL SEPARATION AND NO VERT SEPARATION. IN TRAIL OF THE E120 WAS A BEECH KING AIR (ACFT Z) ON VECTORS TO THE RWY 34R LOC. MY DEVELOPMENTAL BEGAN ISSUING TFC TO THE KING AIR ON THE UNTAGGED TARGET AND THEN ISSUED A TFC ALERT WITH A 30 DEG L TURN TO AVOID THE TARGET. THE PRIMARY TARGETS PASSED WITH LITTLE TO NO RESOLUTION BTWN THE PRIMARY TARGETS AND NO ALT SEPARATION. ONCE THE TARGETS HAD PASSED; THE KING AIR WAS ISSUED A VECTOR TO REJOIN THE RWY 34R LOC. THE KING AIR SUBSEQUENTLY INQUIRED ABOUT THE STATUS OF THE TFC AND STATED THAT THEY WERE IN THE CLOUDS AND NEVER SAW THE OTHER ACFT. SHORTLY AFTERWARDS THE TARGET BEGAN TO SQUAWK A DISCRETE BEACON CODE AND WAS IDENTED BY ZLC AS A C340 (ACFT Y). IT WAS LATER DISCOVERED THAT THIS ACFT HAD DEPARTED SLC ON A VFR FLT PLAN AND HAD RECEIVED FLT FOLLOWING FROM THE S56 VALLEY CTLR. THE VALLEY CTLR ADVISED ACFT Y WHEN THEY HAD LEFT SLC CLASS B AIRSPACE AND ADVISED THEM TO RESUME APPROPRIATE VFR ALTS. THE ACFT WAS LATER ADVISED THAT RADAR SVC WAS TERMINATED AN ADVISED TO SQUAWK 1200. THE ACFT REQUESTED FURTHER FLT FOLLOWING AND WAS INSTRUCTED TO CONTACT ZLC S OF THE FAIRFIELD VOR (FFU). I ADVISED THE OPS SUPVR OF THE CLASS B VIOLATOR AND THE PROX OF THE ACFT TO THE OTHER IFR ACFT. I WAS LATER ADVISED THAT A PLTDEV WAS NOT GOING TO BE FILED ON THE PLT OF THE TWIN CESSNA DUE TO THE FACT THAT THE PLT; AT THE TIME HIS RADAR SVCS WERE TERMINATED; STATED HE WOULD BE CLBING TO 16500 FT. THE RATIONAL GIVEN TO ME WAS THAT THE CTLR DID NOT CHALLENGE THE ALT OF THE VFR PLT. IN MY PERCEPTION OF THE SIT; I BELIEVE THE PLT OF THE TWIN CESSNA COMPROMISED THE SAFETY OF OTHER IFR ACFT BECAUSE OF THEIR LACK OF AWARENESS OF THE SLC CLASS B AIRSPACE. IT APPEARED THAT TCASII WAS NOT HELPFUL IN THIS SIT DUE TO THE FACT THE TWIN CESSNA APPEARED TO BE CHANGING THEIR XPONDER BEACON CODE AND THEREFORE DID NOT APPEAR ON RADAR AS A NORMALLY SQUAWKING ACFT. THE FAILURE OF THE TWIN CESSNA TO OBTAIN A CLRNC INTO CLASS B AIRSPACE CREATED AN UNSAFE SIT. SUPPLEMENTAL INFO FROM ACN 498050: WAS TRAINING ON SLC JORDAN N FLOW ARR SECTOR. VERY BUSY (ABOUT 7 ACFT). VFR SECTOR 'FLASHED' C340 TO US; BUT I WAS TOO BUSY FOR FLT FOLLOWING. C340 WAS TERMINATED; TOLD TO 'SQUAWK 1200.' C340 WAS SBOUND TOWARDS PVU AND DTA. EVEN THOUGH THE C340 VIOLATED CLASS B AIRSPACE; THE EVENT HAPPENED ON THE FINAL APCH CORRIDOR IN VERY BUSY AIRSPACE ABOUT CLASS B. I RECOMMEND THAT CLASS B AIRSPACE IN THAT AREA BE EXPENDED TO INCLUDE UP TO 12000 FT MSL.