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Finding the Fourth Proportional to 266,458.32, 399,964.32 and 178,327.68

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Solution

The fourth proportional to 266,458.32, 399,964.32 and 178,327.68 is: 267,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,458.32 : 399,964.32 = 178,327.68 : x
  2. Step 2: Convert to fraction form
    266,458.32/399,964.32 = 178,327.68/x
  3. Step 3: Cross multiply
    266,458.32x = 399,964.32 × 178,327.68
  4. Step 4: Simplify right side
    266,458.32x = 71,324,709,268.38
  5. Step 5: Solve for x
    x = 71,324,709,268.38/266,458.32
  6. Step 6: Final answer
    x = 267,676.80

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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.