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Finding the Fourth Proportional to 654,229.80, 981,344.70 and 542,255.40

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Solution

The fourth proportional to 654,229.80, 981,344.70 and 542,255.40 is: 813,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,229.80 : 981,344.70 = 542,255.40 : x
  2. Step 2: Convert to fraction form
    654,229.80/981,344.70 = 542,255.40/x
  3. Step 3: Cross multiply
    654,229.80x = 981,344.70 × 542,255.40
  4. Step 4: Simplify right side
    654,229.80x = 532,139,462,836.38
  5. Step 5: Solve for x
    x = 532,139,462,836.38/654,229.80
  6. Step 6: Final answer
    x = 813,383.10

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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.