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Finding the Fourth Proportional to 231,400.64, 347,100.96 and 120,808.64

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Solution

The fourth proportional to 231,400.64, 347,100.96 and 120,808.64 is: 181,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,400.64 : 347,100.96 = 120,808.64 : x
  2. Step 2: Convert to fraction form
    231,400.64/347,100.96 = 120,808.64/x
  3. Step 3: Cross multiply
    231,400.64x = 347,100.96 × 120,808.64
  4. Step 4: Simplify right side
    231,400.64x = 41,932,794,920.29
  5. Step 5: Solve for x
    x = 41,932,794,920.29/231,400.64
  6. Step 6: Final answer
    x = 181,212.96

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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.