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Finding the Fourth Proportional to 402,022.80, 603,034.20 and 339,037.20

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Solution

The fourth proportional to 402,022.80, 603,034.20 and 339,037.20 is: 508,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,022.80 : 603,034.20 = 339,037.20 : x
  2. Step 2: Convert to fraction form
    402,022.80/603,034.20 = 339,037.20/x
  3. Step 3: Cross multiply
    402,022.80x = 603,034.20 × 339,037.20
  4. Step 4: Simplify right side
    402,022.80x = 204,451,026,672.24
  5. Step 5: Solve for x
    x = 204,451,026,672.24/402,022.80
  6. Step 6: Final answer
    x = 508,555.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.