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Finding the Fourth Proportional to 392,132.80, 588,221.52 and 111,628

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Solution

The fourth proportional to 392,132.80, 588,221.52 and 111,628 is: 167,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,132.80 : 588,221.52 = 111,628 : x
  2. Step 2: Convert to fraction form
    392,132.80/588,221.52 = 111,628/x
  3. Step 3: Cross multiply
    392,132.80x = 588,221.52 × 111,628
  4. Step 4: Simplify right side
    392,132.80x = 65,661,991,834.56
  5. Step 5: Solve for x
    x = 65,661,991,834.56/392,132.80
  6. Step 6: Final answer
    x = 167,448.35

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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.