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Finding the Fourth Proportional to 299,246.75, 412,969.16 and 165,119.39

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Solution

The fourth proportional to 299,246.75, 412,969.16 and 165,119.39 is: 227,869.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,246.75 : 412,969.16 = 165,119.39 : x
  2. Step 2: Convert to fraction form
    299,246.75/412,969.16 = 165,119.39/x
  3. Step 3: Cross multiply
    299,246.75x = 412,969.16 × 165,119.39
  4. Step 4: Simplify right side
    299,246.75x = 68,189,215,788.01
  5. Step 5: Solve for x
    x = 68,189,215,788.01/299,246.75
  6. Step 6: Final answer
    x = 227,869.53

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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.