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Finding the Fourth Proportional to 299,321.96, 413,063.46 and 165,185

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Solution

The fourth proportional to 299,321.96, 413,063.46 and 165,185 is: 227,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,321.96 : 413,063.46 = 165,185 : x
  2. Step 2: Convert to fraction form
    299,321.96/413,063.46 = 165,185/x
  3. Step 3: Cross multiply
    299,321.96x = 413,063.46 × 165,185
  4. Step 4: Simplify right side
    299,321.96x = 68,231,887,640.10
  5. Step 5: Solve for x
    x = 68,231,887,640.10/299,321.96
  6. Step 6: Final answer
    x = 227,954.83

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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.