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Finding the Fourth Proportional to 442,915.10, 664,372.65 and 431,251.10

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Solution

The fourth proportional to 442,915.10, 664,372.65 and 431,251.10 is: 646,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,915.10 : 664,372.65 = 431,251.10 : x
  2. Step 2: Convert to fraction form
    442,915.10/664,372.65 = 431,251.10/x
  3. Step 3: Cross multiply
    442,915.10x = 664,372.65 × 431,251.10
  4. Step 4: Simplify right side
    442,915.10x = 286,511,436,122.42
  5. Step 5: Solve for x
    x = 286,511,436,122.42/442,915.10
  6. Step 6: Final answer
    x = 646,876.65

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Similar ratio
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1.5x scale

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.