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Finding the Fourth Proportional to 392,447.80, 588,616.41 and 126,174.48

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Solution

The fourth proportional to 392,447.80, 588,616.41 and 126,174.48 is: 189,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,447.80 : 588,616.41 = 126,174.48 : x
  2. Step 2: Convert to fraction form
    392,447.80/588,616.41 = 126,174.48/x
  3. Step 3: Cross multiply
    392,447.80x = 588,616.41 × 126,174.48
  4. Step 4: Simplify right side
    392,447.80x = 74,268,369,451.22
  5. Step 5: Solve for x
    x = 74,268,369,451.22/392,447.80
  6. Step 6: Final answer
    x = 189,243.94

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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.