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Finding the Fourth Proportional to 392,448.30, 588,617.16 and 126,174.98

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Solution

The fourth proportional to 392,448.30, 588,617.16 and 126,174.98 is: 189,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,448.30 : 588,617.16 = 126,174.98 : x
  2. Step 2: Convert to fraction form
    392,448.30/588,617.16 = 126,174.98/x
  3. Step 3: Cross multiply
    392,448.30x = 588,617.16 × 126,174.98
  4. Step 4: Simplify right side
    392,448.30x = 74,268,755,447.57
  5. Step 5: Solve for x
    x = 74,268,755,447.57/392,448.30
  6. Step 6: Final answer
    x = 189,244.69

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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.