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Finding the Fourth Proportional to 502,686.78, 754,023.60 and 123,610.80

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Solution

The fourth proportional to 502,686.78, 754,023.60 and 123,610.80 is: 185,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,686.78 : 754,023.60 = 123,610.80 : x
  2. Step 2: Convert to fraction form
    502,686.78/754,023.60 = 123,610.80/x
  3. Step 3: Cross multiply
    502,686.78x = 754,023.60 × 123,610.80
  4. Step 4: Simplify right side
    502,686.78x = 93,205,460,414.88
  5. Step 5: Solve for x
    x = 93,205,460,414.88/502,686.78
  6. Step 6: Final answer
    x = 185,414.58

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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.