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Finding the Fourth Proportional to 392,678.25, 588,472.44 and 178,923.78

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Solution

The fourth proportional to 392,678.25, 588,472.44 and 178,923.78 is: 268,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,678.25 : 588,472.44 = 178,923.78 : x
  2. Step 2: Convert to fraction form
    392,678.25/588,472.44 = 178,923.78/x
  3. Step 3: Cross multiply
    392,678.25x = 588,472.44 × 178,923.78
  4. Step 4: Simplify right side
    392,678.25x = 105,291,713,390.62
  5. Step 5: Solve for x
    x = 105,291,713,390.62/392,678.25
  6. Step 6: Final answer
    x = 268,137.37

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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.