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Finding the Fourth Proportional to 391,891.98, 587,764.14 and 152,005.43

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Solution

The fourth proportional to 391,891.98, 587,764.14 and 152,005.43 is: 227,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,891.98 : 587,764.14 = 152,005.43 : x
  2. Step 2: Convert to fraction form
    391,891.98/587,764.14 = 152,005.43/x
  3. Step 3: Cross multiply
    391,891.98x = 587,764.14 × 152,005.43
  4. Step 4: Simplify right side
    391,891.98x = 89,343,337,900.46
  5. Step 5: Solve for x
    x = 89,343,337,900.46/391,891.98
  6. Step 6: Final answer
    x = 227,979.50

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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.