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Finding the Fourth Proportional to 392,677.76, 588,471.69 and 178,923.28

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Solution

The fourth proportional to 392,677.76, 588,471.69 and 178,923.28 is: 268,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,677.76 : 588,471.69 = 178,923.28 : x
  2. Step 2: Convert to fraction form
    392,677.76/588,471.69 = 178,923.28/x
  3. Step 3: Cross multiply
    392,677.76x = 588,471.69 × 178,923.28
  4. Step 4: Simplify right side
    392,677.76x = 105,291,282,019.59
  5. Step 5: Solve for x
    x = 105,291,282,019.59/392,677.76
  6. Step 6: Final answer
    x = 268,136.61

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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.