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Finding the Fourth Proportional to 392,392, 588,593.54 and 111,909.26

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Solution

The fourth proportional to 392,392, 588,593.54 and 111,909.26 is: 167,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,392 : 588,593.54 = 111,909.26 : x
  2. Step 2: Convert to fraction form
    392,392/588,593.54 = 111,909.26/x
  3. Step 3: Cross multiply
    392,392x = 588,593.54 × 111,909.26
  4. Step 4: Simplify right side
    392,392x = 65,869,067,502.18
  5. Step 5: Solve for x
    x = 65,869,067,502.18/392,392
  6. Step 6: Final answer
    x = 167,865.47

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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.