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Finding the Fourth Proportional to 402,531.28, 603,796.90 and 149,805.20

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Solution

The fourth proportional to 402,531.28, 603,796.90 and 149,805.20 is: 224,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,531.28 : 603,796.90 = 149,805.20 : x
  2. Step 2: Convert to fraction form
    402,531.28/603,796.90 = 149,805.20/x
  3. Step 3: Cross multiply
    402,531.28x = 603,796.90 × 149,805.20
  4. Step 4: Simplify right side
    402,531.28x = 90,451,915,363.88
  5. Step 5: Solve for x
    x = 90,451,915,363.88/402,531.28
  6. Step 6: Final answer
    x = 224,707.79

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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.