Debe crear una subconsulta que obtenga el valor máximo de subStatusID
para cada prodID
.
SELECT a.*, -- select only columns that you want to show
c.*, -- asterisks means all columns
d.*
FROM table1 a
INNER JOIN
(
SELECT prodID, max(subStatusID) maxID
FROM table2
GROUP BY prodID
) b ON a.prodID = b.prodID
INNER JOIN table2 c
ON b.prodID = c.prodID AND
b.maxID = c.subStatusID
INNER JOIN table3 d
ON c.subStatusID = d.subStatusID