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Finding the Fourth Proportional to 391,833.92, 540,732.96 and 230,696

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Solution

The fourth proportional to 391,833.92, 540,732.96 and 230,696 is: 318,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,833.92 : 540,732.96 = 230,696 : x
  2. Step 2: Convert to fraction form
    391,833.92/540,732.96 = 230,696/x
  3. Step 3: Cross multiply
    391,833.92x = 540,732.96 × 230,696
  4. Step 4: Simplify right side
    391,833.92x = 124,744,930,940.16
  5. Step 5: Solve for x
    x = 124,744,930,940.16/391,833.92
  6. Step 6: Final answer
    x = 318,361.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.