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Finding the Fourth Proportional to 392,346.21, 588,524.78 and 111,863.46

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Solution

The fourth proportional to 392,346.21, 588,524.78 and 111,863.46 is: 167,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,346.21 : 588,524.78 = 111,863.46 : x
  2. Step 2: Convert to fraction form
    392,346.21/588,524.78 = 111,863.46/x
  3. Step 3: Cross multiply
    392,346.21x = 588,524.78 × 111,863.46
  4. Step 4: Simplify right side
    392,346.21x = 65,834,418,186.54
  5. Step 5: Solve for x
    x = 65,834,418,186.54/392,346.21
  6. Step 6: Final answer
    x = 167,796.75

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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.