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Finding the Fourth Proportional to 442,026.43, 663,503.42 and 391,747.15

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Solution

The fourth proportional to 442,026.43, 663,503.42 and 391,747.15 is: 588,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,026.43 : 663,503.42 = 391,747.15 : x
  2. Step 2: Convert to fraction form
    442,026.43/663,503.42 = 391,747.15/x
  3. Step 3: Cross multiply
    442,026.43x = 663,503.42 × 391,747.15
  4. Step 4: Simplify right side
    442,026.43x = 259,925,573,800.25
  5. Step 5: Solve for x
    x = 259,925,573,800.25/442,026.43
  6. Step 6: Final answer
    x = 588,031.75

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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.