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Finding the Fourth Proportional to 391,498, 587,250.47 and 154,840.71

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Solution

The fourth proportional to 391,498, 587,250.47 and 154,840.71 is: 232,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,498 : 587,250.47 = 154,840.71 : x
  2. Step 2: Convert to fraction form
    391,498/587,250.47 = 154,840.71/x
  3. Step 3: Cross multiply
    391,498x = 587,250.47 × 154,840.71
  4. Step 4: Simplify right side
    391,498x = 90,930,279,722.63
  5. Step 5: Solve for x
    x = 90,930,279,722.63/391,498
  6. Step 6: Final answer
    x = 232,262.44

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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.