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Finding the Fourth Proportional to 431,546.70, 647,368.65 and 132,024.90

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Solution

The fourth proportional to 431,546.70, 647,368.65 and 132,024.90 is: 198,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,546.70 : 647,368.65 = 132,024.90 : x
  2. Step 2: Convert to fraction form
    431,546.70/647,368.65 = 132,024.90/x
  3. Step 3: Cross multiply
    431,546.70x = 647,368.65 × 132,024.90
  4. Step 4: Simplify right side
    431,546.70x = 85,468,781,279.39
  5. Step 5: Solve for x
    x = 85,468,781,279.39/431,546.70
  6. Step 6: Final answer
    x = 198,052.22

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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.