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Finding the Fourth Proportional to 220,470, 330,705 and 54,258

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Solution

The fourth proportional to 220,470, 330,705 and 54,258 is: 81,387

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,470 : 330,705 = 54,258 : x
  2. Step 2: Convert to fraction form
    220,470/330,705 = 54,258/x
  3. Step 3: Cross multiply
    220,470x = 330,705 × 54,258
  4. Step 4: Simplify right side
    220,470x = 17,943,391,890
  5. Step 5: Solve for x
    x = 17,943,391,890/220,470
  6. Step 6: Final answer
    x = 81,387

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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.