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Finding the Fourth Proportional to 392,299, 588,535.98 and 142,981

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Solution

The fourth proportional to 392,299, 588,535.98 and 142,981 is: 214,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,299 : 588,535.98 = 142,981 : x
  2. Step 2: Convert to fraction form
    392,299/588,535.98 = 142,981/x
  3. Step 3: Cross multiply
    392,299x = 588,535.98 × 142,981
  4. Step 4: Simplify right side
    392,299x = 84,149,462,956.38
  5. Step 5: Solve for x
    x = 84,149,462,956.38/392,299
  6. Step 6: Final answer
    x = 214,503.38

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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.