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Finding the Fourth Proportional to 392,197.32, 588,179.10 and 142,821

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Solution

The fourth proportional to 392,197.32, 588,179.10 and 142,821 is: 214,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,197.32 : 588,179.10 = 142,821 : x
  2. Step 2: Convert to fraction form
    392,197.32/588,179.10 = 142,821/x
  3. Step 3: Cross multiply
    392,197.32x = 588,179.10 × 142,821
  4. Step 4: Simplify right side
    392,197.32x = 84,004,327,241.10
  5. Step 5: Solve for x
    x = 84,004,327,241.10/392,197.32
  6. Step 6: Final answer
    x = 214,188.94

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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.