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Finding the Fourth Proportional to 512,845.32, 707,691.14 and 283,400.44

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Solution

The fourth proportional to 512,845.32, 707,691.14 and 283,400.44 is: 391,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,845.32 : 707,691.14 = 283,400.44 : x
  2. Step 2: Convert to fraction form
    512,845.32/707,691.14 = 283,400.44/x
  3. Step 3: Cross multiply
    512,845.32x = 707,691.14 × 283,400.44
  4. Step 4: Simplify right side
    512,845.32x = 200,559,979,930.75
  5. Step 5: Solve for x
    x = 200,559,979,930.75/512,845.32
  6. Step 6: Final answer
    x = 391,073.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.