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Finding the Fourth Proportional to 331,230.88, 457,633.04 and 231,076

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Solution

The fourth proportional to 331,230.88, 457,633.04 and 231,076 is: 319,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,230.88 : 457,633.04 = 231,076 : x
  2. Step 2: Convert to fraction form
    331,230.88/457,633.04 = 231,076/x
  3. Step 3: Cross multiply
    331,230.88x = 457,633.04 × 231,076
  4. Step 4: Simplify right side
    331,230.88x = 105,748,012,351.04
  5. Step 5: Solve for x
    x = 105,748,012,351.04/331,230.88
  6. Step 6: Final answer
    x = 319,257.71

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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.