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Finding the Fourth Proportional to 521,131.66, 781,498.23 and 284,347.78

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Solution

The fourth proportional to 521,131.66, 781,498.23 and 284,347.78 is: 426,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,131.66 : 781,498.23 = 284,347.78 : x
  2. Step 2: Convert to fraction form
    521,131.66/781,498.23 = 284,347.78/x
  3. Step 3: Cross multiply
    521,131.66x = 781,498.23 × 284,347.78
  4. Step 4: Simplify right side
    521,131.66x = 222,217,286,774.43
  5. Step 5: Solve for x
    x = 222,217,286,774.43/521,131.66
  6. Step 6: Final answer
    x = 426,412.95

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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.