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Finding the Fourth Proportional to 502,685.78, 754,022.10 and 123,609.80

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Solution

The fourth proportional to 502,685.78, 754,022.10 and 123,609.80 is: 185,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,685.78 : 754,022.10 = 123,609.80 : x
  2. Step 2: Convert to fraction form
    502,685.78/754,022.10 = 123,609.80/x
  3. Step 3: Cross multiply
    502,685.78x = 754,022.10 × 123,609.80
  4. Step 4: Simplify right side
    502,685.78x = 93,204,520,976.58
  5. Step 5: Solve for x
    x = 93,204,520,976.58/502,685.78
  6. Step 6: Final answer
    x = 185,413.08

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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.