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Finding the Fourth Proportional to 643,691.52, 965,226.24 and 283,818.24

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Solution

The fourth proportional to 643,691.52, 965,226.24 and 283,818.24 is: 425,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,691.52 : 965,226.24 = 283,818.24 : x
  2. Step 2: Convert to fraction form
    643,691.52/965,226.24 = 283,818.24/x
  3. Step 3: Cross multiply
    643,691.52x = 965,226.24 × 283,818.24
  4. Step 4: Simplify right side
    643,691.52x = 273,948,812,638.62
  5. Step 5: Solve for x
    x = 273,948,812,638.62/643,691.52
  6. Step 6: Final answer
    x = 425,590.22

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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.