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Finding the Fourth Proportional to 392,276.28, 588,501.90 and 142,958.28

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Solution

The fourth proportional to 392,276.28, 588,501.90 and 142,958.28 is: 214,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,276.28 : 588,501.90 = 142,958.28 : x
  2. Step 2: Convert to fraction form
    392,276.28/588,501.90 = 142,958.28/x
  3. Step 3: Cross multiply
    392,276.28x = 588,501.90 × 142,958.28
  4. Step 4: Simplify right side
    392,276.28x = 84,131,219,400.73
  5. Step 5: Solve for x
    x = 84,131,219,400.73/392,276.28
  6. Step 6: Final answer
    x = 214,469.30

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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.