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Finding the Fourth Proportional to 231,617.20, 347,231.40 and 120,809.20

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Solution

The fourth proportional to 231,617.20, 347,231.40 and 120,809.20 is: 181,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,617.20 : 347,231.40 = 120,809.20 : x
  2. Step 2: Convert to fraction form
    231,617.20/347,231.40 = 120,809.20/x
  3. Step 3: Cross multiply
    231,617.20x = 347,231.40 × 120,809.20
  4. Step 4: Simplify right side
    231,617.20x = 41,948,747,648.88
  5. Step 5: Solve for x
    x = 41,948,747,648.88/231,617.20
  6. Step 6: Final answer
    x = 181,112.40

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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.