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Finding the Fourth Proportional to 465,177.38, 641,098.86 and 363,149.78

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Solution

The fourth proportional to 465,177.38, 641,098.86 and 363,149.78 is: 500,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,177.38 : 641,098.86 = 363,149.78 : x
  2. Step 2: Convert to fraction form
    465,177.38/641,098.86 = 363,149.78/x
  3. Step 3: Cross multiply
    465,177.38x = 641,098.86 × 363,149.78
  4. Step 4: Simplify right side
    465,177.38x = 232,814,909,967.25
  5. Step 5: Solve for x
    x = 232,814,909,967.25/465,177.38
  6. Step 6: Final answer
    x = 500,486.31

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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.