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Finding the Fourth Proportional to 331,234.88, 457,638.56 and 231,080

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Solution

The fourth proportional to 331,234.88, 457,638.56 and 231,080 is: 319,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,234.88 : 457,638.56 = 231,080 : x
  2. Step 2: Convert to fraction form
    331,234.88/457,638.56 = 231,080/x
  3. Step 3: Cross multiply
    331,234.88x = 457,638.56 × 231,080
  4. Step 4: Simplify right side
    331,234.88x = 105,751,118,444.80
  5. Step 5: Solve for x
    x = 105,751,118,444.80/331,234.88
  6. Step 6: Final answer
    x = 319,263.23

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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.