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Finding the Fourth Proportional to 431,646.15, 647,446.14 and 132,126.88

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Solution

The fourth proportional to 431,646.15, 647,446.14 and 132,126.88 is: 198,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,646.15 : 647,446.14 = 132,126.88 : x
  2. Step 2: Convert to fraction form
    431,646.15/647,446.14 = 132,126.88/x
  3. Step 3: Cross multiply
    431,646.15x = 647,446.14 × 132,126.88
  4. Step 4: Simplify right side
    431,646.15x = 85,545,038,446.24
  5. Step 5: Solve for x
    x = 85,545,038,446.24/431,646.15
  6. Step 6: Final answer
    x = 198,183.25

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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.