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Finding the Fourth Proportional to 475,311.92, 712,932 and 138,355.20

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Solution

The fourth proportional to 475,311.92, 712,932 and 138,355.20 is: 207,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,311.92 : 712,932 = 138,355.20 : x
  2. Step 2: Convert to fraction form
    475,311.92/712,932 = 138,355.20/x
  3. Step 3: Cross multiply
    475,311.92x = 712,932 × 138,355.20
  4. Step 4: Simplify right side
    475,311.92x = 98,637,849,446.40
  5. Step 5: Solve for x
    x = 98,637,849,446.40/475,311.92
  6. Step 6: Final answer
    x = 207,522.36

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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.