ΔE 18.4, loose: different enough that you should pick on purpose. Radiant Yellow is a little lighter, much more muted, cooler than Shiny Gold.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 18). Radiant Yellow is a little lighter, much more muted, cooler than Shiny Gold.
The same difference applies the other way round: Shiny Gold is a little darker, much more saturated, warmer.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Shiny Gold on the colour wheel See Radiant Yellow on the colour wheel
All matches: Shiny Gold equivalents · Radiant Yellow equivalents