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Finding the Fourth Proportional to 431,725.53, 647,589.92 and 132,204.95

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Solution

The fourth proportional to 431,725.53, 647,589.92 and 132,204.95 is: 198,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,725.53 : 647,589.92 = 132,204.95 : x
  2. Step 2: Convert to fraction form
    431,725.53/647,589.92 = 132,204.95/x
  3. Step 3: Cross multiply
    431,725.53x = 647,589.92 × 132,204.95
  4. Step 4: Simplify right side
    431,725.53x = 85,614,592,994.10
  5. Step 5: Solve for x
    x = 85,614,592,994.10/431,725.53
  6. Step 6: Final answer
    x = 198,307.92

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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.