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Finding the Fourth Proportional to 331,226.88, 457,627.52 and 231,072

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Solution

The fourth proportional to 331,226.88, 457,627.52 and 231,072 is: 319,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,226.88 : 457,627.52 = 231,072 : x
  2. Step 2: Convert to fraction form
    331,226.88/457,627.52 = 231,072/x
  3. Step 3: Cross multiply
    331,226.88x = 457,627.52 × 231,072
  4. Step 4: Simplify right side
    331,226.88x = 105,744,906,301.44
  5. Step 5: Solve for x
    x = 105,744,906,301.44/331,226.88
  6. Step 6: Final answer
    x = 319,252.19

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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.