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Finding the Fourth Proportional to 230,327.76, 343,689.92 and 206,391.39

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Solution

The fourth proportional to 230,327.76, 343,689.92 and 206,391.39 is: 307,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,327.76 : 343,689.92 = 206,391.39 : x
  2. Step 2: Convert to fraction form
    230,327.76/343,689.92 = 206,391.39/x
  3. Step 3: Cross multiply
    230,327.76x = 343,689.92 × 206,391.39
  4. Step 4: Simplify right side
    230,327.76x = 70,934,639,285.83
  5. Step 5: Solve for x
    x = 70,934,639,285.83/230,327.76
  6. Step 6: Final answer
    x = 307,972.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.