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Finding the Fourth Proportional to 392,465.28, 587,909.70 and 178,939.47

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Solution

The fourth proportional to 392,465.28, 587,909.70 and 178,939.47 is: 268,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,465.28 : 587,909.70 = 178,939.47 : x
  2. Step 2: Convert to fraction form
    392,465.28/587,909.70 = 178,939.47/x
  3. Step 3: Cross multiply
    392,465.28x = 587,909.70 × 178,939.47
  4. Step 4: Simplify right side
    392,465.28x = 105,200,250,263.62
  5. Step 5: Solve for x
    x = 105,200,250,263.62/392,465.28
  6. Step 6: Final answer
    x = 268,049.83

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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.