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Finding the Fourth Proportional to 220,414.56, 304,197.60 and 123,645

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Solution

The fourth proportional to 220,414.56, 304,197.60 and 123,645 is: 170,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,414.56 : 304,197.60 = 123,645 : x
  2. Step 2: Convert to fraction form
    220,414.56/304,197.60 = 123,645/x
  3. Step 3: Cross multiply
    220,414.56x = 304,197.60 × 123,645
  4. Step 4: Simplify right side
    220,414.56x = 37,612,512,252
  5. Step 5: Solve for x
    x = 37,612,512,252/220,414.56
  6. Step 6: Final answer
    x = 170,644.41

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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.