MP_DENSITY is user editable pre-multibody parameter that still works but only for single body parts. For instance if you are modeling a part that has a known weight regardless of size you could write a relation like:
MP_DENSITY = 5 / PRO_MP_VOLUME
The mass of the part would always be 5.
PRO_MP_DENSITY is a reported density that is the average of all of the densities of the bodies and their associated materials. IE body1 density + body2 density / # Bodies
PTC_MASS_DENSITY is the parameter in the material file (.mtl) that defines the density for that material.
PRO_MP_ALT_DENSITY is linked to MP_DENSITY unless you change it and then the link is broken. PRO_MP_ALT_DENSITY is changed by defining mass properties manually (File -> Prepare -> Mass Properties -> Change -> Define Properties by "Fully Assigned" -> Type in a density number)
Had enough density?