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Finding the Fourth Proportional to 392,679.25, 588,473.94 and 178,924.78

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Solution

The fourth proportional to 392,679.25, 588,473.94 and 178,924.78 is: 268,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,679.25 : 588,473.94 = 178,924.78 : x
  2. Step 2: Convert to fraction form
    392,679.25/588,473.94 = 178,924.78/x
  3. Step 3: Cross multiply
    392,679.25x = 588,473.94 × 178,924.78
  4. Step 4: Simplify right side
    392,679.25x = 105,292,570,250.23
  5. Step 5: Solve for x
    x = 105,292,570,250.23/392,679.25
  6. Step 6: Final answer
    x = 268,138.87

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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.