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Finding the Fourth Proportional to 392,451.86, 588,776.20 and 155,716.40

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Solution

The fourth proportional to 392,451.86, 588,776.20 and 155,716.40 is: 233,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,451.86 : 588,776.20 = 155,716.40 : x
  2. Step 2: Convert to fraction form
    392,451.86/588,776.20 = 155,716.40/x
  3. Step 3: Cross multiply
    392,451.86x = 588,776.20 × 155,716.40
  4. Step 4: Simplify right side
    392,451.86x = 91,682,110,269.68
  5. Step 5: Solve for x
    x = 91,682,110,269.68/392,451.86
  6. Step 6: Final answer
    x = 233,613.65

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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.