Hello I am new to this forum and would like to say hi to all. That being said I am a professional card carring electrician. Yes you may use smaller ballasts and bulbs in larger fixtures, however some modifications will be necessary. Mostlikely the ballast will be smaller that the original. You need to make sure the ballast is completely secure DO NOT JUST LEVE IT LAY! this is very dangerous. New ballasts come with the wires attached. There will be many unused wires on the ballast. you must select the proper set of wires to use as mogul base ballasts are multi tap. Meaning they can accept 110, 208, 220, 277 and 480 volt inputs. Select the proper input voltage. Cut off the ends of unused wires so no exposed copper shows. Then wirenut the ends with high heat wirenuts at least 60 degree C. Then tape with 3m brand 33 electrical tape. DO NOT USE THE GARBAGE VINAL FROM WALMART. Roll up the unused wires and tuck them neatly in the fixture.
A note on HID lighting...Most all of it is mogul base. meaning any mogul base bulb will fit. You must match the ballast to the bulb. IE. pulse start, highpressure sodium, murcuery vapor, multi vapor, etc.
You should also match the wattage of the bulb and ballast. While a 400 watt bulb will not work on a smaller ballast a 175 bulb will burn on a 250 balast. I WOULD NOT RECOMEND IT THOUGH!
Hope this helps,
Jim