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Finding the Fourth Proportional to 231,409.84, 347,436 and 119,170.30

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Solution

The fourth proportional to 231,409.84, 347,436 and 119,170.30 is: 178,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,409.84 : 347,436 = 119,170.30 : x
  2. Step 2: Convert to fraction form
    231,409.84/347,436 = 119,170.30/x
  3. Step 3: Cross multiply
    231,409.84x = 347,436 × 119,170.30
  4. Step 4: Simplify right side
    231,409.84x = 41,404,052,350.80
  5. Step 5: Solve for x
    x = 41,404,052,350.80/231,409.84
  6. Step 6: Final answer
    x = 178,920.88

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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.