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Finding the Fourth Proportional to 392,422, 588,638.54 and 111,939.25

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Solution

The fourth proportional to 392,422, 588,638.54 and 111,939.25 is: 167,910.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,422 : 588,638.54 = 111,939.25 : x
  2. Step 2: Convert to fraction form
    392,422/588,638.54 = 111,939.25/x
  3. Step 3: Cross multiply
    392,422x = 588,638.54 × 111,939.25
  4. Step 4: Simplify right side
    392,422x = 65,891,756,688.70
  5. Step 5: Solve for x
    x = 65,891,756,688.70/392,422
  6. Step 6: Final answer
    x = 167,910.46

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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.