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Finding the Fourth Proportional to 331,286, 457,174.68 and 180,383

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Solution

The fourth proportional to 331,286, 457,174.68 and 180,383 is: 248,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,286 : 457,174.68 = 180,383 : x
  2. Step 2: Convert to fraction form
    331,286/457,174.68 = 180,383/x
  3. Step 3: Cross multiply
    331,286x = 457,174.68 × 180,383
  4. Step 4: Simplify right side
    331,286x = 82,466,540,302.44
  5. Step 5: Solve for x
    x = 82,466,540,302.44/331,286
  6. Step 6: Final answer
    x = 248,928.54

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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.