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Finding the Fourth Proportional to 392,446.80, 588,614.91 and 126,173.48

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Solution

The fourth proportional to 392,446.80, 588,614.91 and 126,173.48 is: 189,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,446.80 : 588,614.91 = 126,173.48 : x
  2. Step 2: Convert to fraction form
    392,446.80/588,614.91 = 126,173.48/x
  3. Step 3: Cross multiply
    392,446.80x = 588,614.91 × 126,173.48
  4. Step 4: Simplify right side
    392,446.80x = 74,267,588,631.51
  5. Step 5: Solve for x
    x = 74,267,588,631.51/392,446.80
  6. Step 6: Final answer
    x = 189,242.44

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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.