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Finding the Fourth Proportional to 266,850.60, 400,241.34 and 100,617

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Solution

The fourth proportional to 266,850.60, 400,241.34 and 100,617 is: 150,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,850.60 : 400,241.34 = 100,617 : x
  2. Step 2: Convert to fraction form
    266,850.60/400,241.34 = 100,617/x
  3. Step 3: Cross multiply
    266,850.60x = 400,241.34 × 100,617
  4. Step 4: Simplify right side
    266,850.60x = 40,271,082,906.78
  5. Step 5: Solve for x
    x = 40,271,082,906.78/266,850.60
  6. Step 6: Final answer
    x = 150,912.47

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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.