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Finding the Fourth Proportional to 415,076.80, 622,906.80 and 178,589.20

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Solution

The fourth proportional to 415,076.80, 622,906.80 and 178,589.20 is: 268,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,076.80 : 622,906.80 = 178,589.20 : x
  2. Step 2: Convert to fraction form
    415,076.80/622,906.80 = 178,589.20/x
  3. Step 3: Cross multiply
    415,076.80x = 622,906.80 × 178,589.20
  4. Step 4: Simplify right side
    415,076.80x = 111,244,427,086.56
  5. Step 5: Solve for x
    x = 111,244,427,086.56/415,076.80
  6. Step 6: Final answer
    x = 268,009.26

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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.