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Finding the Fourth Proportional to 331,686.32, 457,792.46 and 231,026

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Solution

The fourth proportional to 331,686.32, 457,792.46 and 231,026 is: 318,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,686.32 : 457,792.46 = 231,026 : x
  2. Step 2: Convert to fraction form
    331,686.32/457,792.46 = 231,026/x
  3. Step 3: Cross multiply
    331,686.32x = 457,792.46 × 231,026
  4. Step 4: Simplify right side
    331,686.32x = 105,761,960,863.96
  5. Step 5: Solve for x
    x = 105,761,960,863.96/331,686.32
  6. Step 6: Final answer
    x = 318,861.39

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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.