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Finding the Fourth Proportional to 391,034.32, 586,773.18 and 211,117.32

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Solution

The fourth proportional to 391,034.32, 586,773.18 and 211,117.32 is: 316,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,034.32 : 586,773.18 = 211,117.32 : x
  2. Step 2: Convert to fraction form
    391,034.32/586,773.18 = 211,117.32/x
  3. Step 3: Cross multiply
    391,034.32x = 586,773.18 × 211,117.32
  4. Step 4: Simplify right side
    391,034.32x = 123,877,981,209.48
  5. Step 5: Solve for x
    x = 123,877,981,209.48/391,034.32
  6. Step 6: Final answer
    x = 316,795.68

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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.