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Finding the Fourth Proportional to 283,711.25, 391,549.10 and 211,966.71

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Solution

The fourth proportional to 283,711.25, 391,549.10 and 211,966.71 is: 292,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,711.25 : 391,549.10 = 211,966.71 : x
  2. Step 2: Convert to fraction form
    283,711.25/391,549.10 = 211,966.71/x
  3. Step 3: Cross multiply
    283,711.25x = 391,549.10 × 211,966.71
  4. Step 4: Simplify right side
    283,711.25x = 82,995,374,530.46
  5. Step 5: Solve for x
    x = 82,995,374,530.46/283,711.25
  6. Step 6: Final answer
    x = 292,534.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.