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Finding the Fourth Proportional to 521,016.30, 781,330.05 and 205,407.90

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Solution

The fourth proportional to 521,016.30, 781,330.05 and 205,407.90 is: 308,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,016.30 : 781,330.05 = 205,407.90 : x
  2. Step 2: Convert to fraction form
    521,016.30/781,330.05 = 205,407.90/x
  3. Step 3: Cross multiply
    521,016.30x = 781,330.05 × 205,407.90
  4. Step 4: Simplify right side
    521,016.30x = 160,491,364,777.40
  5. Step 5: Solve for x
    x = 160,491,364,777.40/521,016.30
  6. Step 6: Final answer
    x = 308,035.21

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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.