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Finding the Fourth Proportional to 398,877.56, 598,321.62 and 125,314.83

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Solution

The fourth proportional to 398,877.56, 598,321.62 and 125,314.83 is: 187,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,877.56 : 598,321.62 = 125,314.83 : x
  2. Step 2: Convert to fraction form
    398,877.56/598,321.62 = 125,314.83/x
  3. Step 3: Cross multiply
    398,877.56x = 598,321.62 × 125,314.83
  4. Step 4: Simplify right side
    398,877.56x = 74,978,572,095.62
  5. Step 5: Solve for x
    x = 74,978,572,095.62/398,877.56
  6. Step 6: Final answer
    x = 187,973.90

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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.