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Finding the Fourth Proportional to 322,410.39, 482,874.07 and 187,139.44

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Solution

The fourth proportional to 322,410.39, 482,874.07 and 187,139.44 is: 280,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,410.39 : 482,874.07 = 187,139.44 : x
  2. Step 2: Convert to fraction form
    322,410.39/482,874.07 = 187,139.44/x
  3. Step 3: Cross multiply
    322,410.39x = 482,874.07 × 187,139.44
  4. Step 4: Simplify right side
    322,410.39x = 90,364,781,726.17
  5. Step 5: Solve for x
    x = 90,364,781,726.17/322,410.39
  6. Step 6: Final answer
    x = 280,278.76

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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.