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Finding the Fourth Proportional to 391,251.16, 586,964.76 and 211,332.88

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Solution

The fourth proportional to 391,251.16, 586,964.76 and 211,332.88 is: 317,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,251.16 : 586,964.76 = 211,332.88 : x
  2. Step 2: Convert to fraction form
    391,251.16/586,964.76 = 211,332.88/x
  3. Step 3: Cross multiply
    391,251.16x = 586,964.76 × 211,332.88
  4. Step 4: Simplify right side
    391,251.16x = 124,044,953,189.31
  5. Step 5: Solve for x
    x = 124,044,953,189.31/391,251.16
  6. Step 6: Final answer
    x = 317,046.86

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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.