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Finding the Fourth Proportional to 664,691.80, 996,843.30 and 238,178.20

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Solution

The fourth proportional to 664,691.80, 996,843.30 and 238,178.20 is: 357,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,691.80 : 996,843.30 = 238,178.20 : x
  2. Step 2: Convert to fraction form
    664,691.80/996,843.30 = 238,178.20/x
  3. Step 3: Cross multiply
    664,691.80x = 996,843.30 × 238,178.20
  4. Step 4: Simplify right side
    664,691.80x = 237,426,342,876.06
  5. Step 5: Solve for x
    x = 237,426,342,876.06/664,691.80
  6. Step 6: Final answer
    x = 357,197.64

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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.