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Finding the Fourth Proportional to 331,169, 457,013.28 and 180,266

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Solution

The fourth proportional to 331,169, 457,013.28 and 180,266 is: 248,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,169 : 457,013.28 = 180,266 : x
  2. Step 2: Convert to fraction form
    331,169/457,013.28 = 180,266/x
  3. Step 3: Cross multiply
    331,169x = 457,013.28 × 180,266
  4. Step 4: Simplify right side
    331,169x = 82,383,955,932.48
  5. Step 5: Solve for x
    x = 82,383,955,932.48/331,169
  6. Step 6: Final answer
    x = 248,767.11

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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.