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Finding the Fourth Proportional to 231,651.60, 347,218.20 and 119,288.40

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Solution

The fourth proportional to 231,651.60, 347,218.20 and 119,288.40 is: 178,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,651.60 : 347,218.20 = 119,288.40 : x
  2. Step 2: Convert to fraction form
    231,651.60/347,218.20 = 119,288.40/x
  3. Step 3: Cross multiply
    231,651.60x = 347,218.20 × 119,288.40
  4. Step 4: Simplify right side
    231,651.60x = 41,419,103,528.88
  5. Step 5: Solve for x
    x = 41,419,103,528.88/231,651.60
  6. Step 6: Final answer
    x = 178,799.13

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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.