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Finding the Fourth Proportional to 266,338.56, 399,388.16 and 100,008.96

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Solution

The fourth proportional to 266,338.56, 399,388.16 and 100,008.96 is: 149,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,338.56 : 399,388.16 = 100,008.96 : x
  2. Step 2: Convert to fraction form
    266,338.56/399,388.16 = 100,008.96/x
  3. Step 3: Cross multiply
    266,338.56x = 399,388.16 × 100,008.96
  4. Step 4: Simplify right side
    266,338.56x = 39,942,394,517.91
  5. Step 5: Solve for x
    x = 39,942,394,517.91/266,338.56
  6. Step 6: Final answer
    x = 149,968.50

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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.