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Finding the Fourth Proportional to 422,498.80, 633,844.20 and 142,044.40

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Solution

The fourth proportional to 422,498.80, 633,844.20 and 142,044.40 is: 213,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,498.80 : 633,844.20 = 142,044.40 : x
  2. Step 2: Convert to fraction form
    422,498.80/633,844.20 = 142,044.40/x
  3. Step 3: Cross multiply
    422,498.80x = 633,844.20 × 142,044.40
  4. Step 4: Simplify right side
    422,498.80x = 90,034,019,082.48
  5. Step 5: Solve for x
    x = 90,034,019,082.48/422,498.80
  6. Step 6: Final answer
    x = 213,098.88

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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.