Finding the Fourth Proportional to 338,275, 466,819.50 and 204,139

Step by Step Solution

1. Step 1: Write the proportion equation
   338,275 : 466,819.50 = 204,139 : x
2. Step 2: Convert to fraction form
   338,275/466,819.50 = 204,139/x
3. Step 3: Cross multiply
   338,275x = 466,819.50 × 204,139
4. Step 4: Simplify right side
   338,275x = 95,296,065,910.50
5. Step 5: Solve for x
   x = 95,296,065,910.50/338,275
6. Step 6: Final answer
   x = 281,711.82