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Finding the Fourth Proportional to 299,247, 412,969.50 and 165,119.64

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Solution

The fourth proportional to 299,247, 412,969.50 and 165,119.64 is: 227,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,247 : 412,969.50 = 165,119.64 : x
  2. Step 2: Convert to fraction form
    299,247/412,969.50 = 165,119.64/x
  3. Step 3: Cross multiply
    299,247x = 412,969.50 × 165,119.64
  4. Step 4: Simplify right side
    299,247x = 68,189,375,170.98
  5. Step 5: Solve for x
    x = 68,189,375,170.98/299,247
  6. Step 6: Final answer
    x = 227,869.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.