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Finding the Fourth Proportional to 331,228.88, 457,630.28 and 231,074

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Solution

The fourth proportional to 331,228.88, 457,630.28 and 231,074 is: 319,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,228.88 : 457,630.28 = 231,074 : x
  2. Step 2: Convert to fraction form
    331,228.88/457,630.28 = 231,074/x
  3. Step 3: Cross multiply
    331,228.88x = 457,630.28 × 231,074
  4. Step 4: Simplify right side
    331,228.88x = 105,746,459,320.72
  5. Step 5: Solve for x
    x = 105,746,459,320.72/331,228.88
  6. Step 6: Final answer
    x = 319,254.95

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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.