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Finding the Fourth Proportional to 487,713.46, 731,640.15 and 150,780.42

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Solution

The fourth proportional to 487,713.46, 731,640.15 and 150,780.42 is: 226,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,713.46 : 731,640.15 = 150,780.42 : x
  2. Step 2: Convert to fraction form
    487,713.46/731,640.15 = 150,780.42/x
  3. Step 3: Cross multiply
    487,713.46x = 731,640.15 × 150,780.42
  4. Step 4: Simplify right side
    487,713.46x = 110,317,009,105.86
  5. Step 5: Solve for x
    x = 110,317,009,105.86/487,713.46
  6. Step 6: Final answer
    x = 226,192.26

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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.