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Finding the Fourth Proportional to 415,096.32, 622,635.84 and 281,642.88

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Solution

The fourth proportional to 415,096.32, 622,635.84 and 281,642.88 is: 422,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,096.32 : 622,635.84 = 281,642.88 : x
  2. Step 2: Convert to fraction form
    415,096.32/622,635.84 = 281,642.88/x
  3. Step 3: Cross multiply
    415,096.32x = 622,635.84 × 281,642.88
  4. Step 4: Simplify right side
    415,096.32x = 175,360,951,168.82
  5. Step 5: Solve for x
    x = 175,360,951,168.82/415,096.32
  6. Step 6: Final answer
    x = 422,458.46

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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.