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Finding the Fourth Proportional to 392,238.28, 588,379.68 and 111,777.40

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Solution

The fourth proportional to 392,238.28, 588,379.68 and 111,777.40 is: 167,672.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,238.28 : 588,379.68 = 111,777.40 : x
  2. Step 2: Convert to fraction form
    392,238.28/588,379.68 = 111,777.40/x
  3. Step 3: Cross multiply
    392,238.28x = 588,379.68 × 111,777.40
  4. Step 4: Simplify right side
    392,238.28x = 65,767,550,843.23
  5. Step 5: Solve for x
    x = 65,767,550,843.23/392,238.28
  6. Step 6: Final answer
    x = 167,672.44

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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.