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Finding the Fourth Proportional to 386,791.92, 580,089.44 and 120,502.80

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Solution

The fourth proportional to 386,791.92, 580,089.44 and 120,502.80 is: 180,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,791.92 : 580,089.44 = 120,502.80 : x
  2. Step 2: Convert to fraction form
    386,791.92/580,089.44 = 120,502.80/x
  3. Step 3: Cross multiply
    386,791.92x = 580,089.44 × 120,502.80
  4. Step 4: Simplify right side
    386,791.92x = 69,902,401,770.43
  5. Step 5: Solve for x
    x = 69,902,401,770.43/386,791.92
  6. Step 6: Final answer
    x = 180,723.53

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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.