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Finding the Fourth Proportional to 220,464, 330,696 and 54,252

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Solution

The fourth proportional to 220,464, 330,696 and 54,252 is: 81,378

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,464 : 330,696 = 54,252 : x
  2. Step 2: Convert to fraction form
    220,464/330,696 = 54,252/x
  3. Step 3: Cross multiply
    220,464x = 330,696 × 54,252
  4. Step 4: Simplify right side
    220,464x = 17,940,919,392
  5. Step 5: Solve for x
    x = 17,940,919,392/220,464
  6. Step 6: Final answer
    x = 81,378

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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.