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Finding the Fourth Proportional to 498,456.31, 747,684.49 and 398,146.85

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Solution

The fourth proportional to 498,456.31, 747,684.49 and 398,146.85 is: 597,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,456.31 : 747,684.49 = 398,146.85 : x
  2. Step 2: Convert to fraction form
    498,456.31/747,684.49 = 398,146.85/x
  3. Step 3: Cross multiply
    498,456.31x = 747,684.49 × 398,146.85
  4. Step 4: Simplify right side
    498,456.31x = 297,688,224,487.36
  5. Step 5: Solve for x
    x = 297,688,224,487.36/498,456.31
  6. Step 6: Final answer
    x = 597,220.30

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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.