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Finding the Fourth Proportional to 220,846, 331,269 and 54,634

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Solution

The fourth proportional to 220,846, 331,269 and 54,634 is: 81,951

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,846 : 331,269 = 54,634 : x
  2. Step 2: Convert to fraction form
    220,846/331,269 = 54,634/x
  3. Step 3: Cross multiply
    220,846x = 331,269 × 54,634
  4. Step 4: Simplify right side
    220,846x = 18,098,550,546
  5. Step 5: Solve for x
    x = 18,098,550,546/220,846
  6. Step 6: Final answer
    x = 81,951

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.