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Finding the Fourth Proportional to 521,049.14, 781,165.42 and 205,742.06

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Solution

The fourth proportional to 521,049.14, 781,165.42 and 205,742.06 is: 308,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,049.14 : 781,165.42 = 205,742.06 : x
  2. Step 2: Convert to fraction form
    521,049.14/781,165.42 = 205,742.06/x
  3. Step 3: Cross multiply
    521,049.14x = 781,165.42 × 205,742.06
  4. Step 4: Simplify right side
    521,049.14x = 160,718,582,711.57
  5. Step 5: Solve for x
    x = 160,718,582,711.57/521,049.14
  6. Step 6: Final answer
    x = 308,451.87

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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.