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Finding the Fourth Proportional to 381,793.92, 572,029.37 and 231,719.75

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Solution

The fourth proportional to 381,793.92, 572,029.37 and 231,719.75 is: 347,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,793.92 : 572,029.37 = 231,719.75 : x
  2. Step 2: Convert to fraction form
    381,793.92/572,029.37 = 231,719.75/x
  3. Step 3: Cross multiply
    381,793.92x = 572,029.37 × 231,719.75
  4. Step 4: Simplify right side
    381,793.92x = 132,550,501,604.37
  5. Step 5: Solve for x
    x = 132,550,501,604.37/381,793.92
  6. Step 6: Final answer
    x = 347,178.14

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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.