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Finding the Fourth Proportional to 431,704.10, 647,499.45 and 132,214.70

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Solution

The fourth proportional to 431,704.10, 647,499.45 and 132,214.70 is: 198,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,704.10 : 647,499.45 = 132,214.70 : x
  2. Step 2: Convert to fraction form
    431,704.10/647,499.45 = 132,214.70/x
  3. Step 3: Cross multiply
    431,704.10x = 647,499.45 × 132,214.70
  4. Step 4: Simplify right side
    431,704.10x = 85,608,945,531.92
  5. Step 5: Solve for x
    x = 85,608,945,531.92/431,704.10
  6. Step 6: Final answer
    x = 198,304.68

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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.