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Finding the Fourth Proportional to 503,229.28, 694,473.02 and 288,410.52

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Solution

The fourth proportional to 503,229.28, 694,473.02 and 288,410.52 is: 398,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,229.28 : 694,473.02 = 288,410.52 : x
  2. Step 2: Convert to fraction form
    503,229.28/694,473.02 = 288,410.52/x
  3. Step 3: Cross multiply
    503,229.28x = 694,473.02 × 288,410.52
  4. Step 4: Simplify right side
    503,229.28x = 200,293,324,824.17
  5. Step 5: Solve for x
    x = 200,293,324,824.17/503,229.28
  6. Step 6: Final answer
    x = 398,016.04

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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.