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Finding the Fourth Proportional to 402,410.20, 603,615.30 and 337,456.30

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Solution

The fourth proportional to 402,410.20, 603,615.30 and 337,456.30 is: 506,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,410.20 : 603,615.30 = 337,456.30 : x
  2. Step 2: Convert to fraction form
    402,410.20/603,615.30 = 337,456.30/x
  3. Step 3: Cross multiply
    402,410.20x = 603,615.30 × 337,456.30
  4. Step 4: Simplify right side
    402,410.20x = 203,693,785,761.39
  5. Step 5: Solve for x
    x = 203,693,785,761.39/402,410.20
  6. Step 6: Final answer
    x = 506,184.45

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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.