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Finding the Fourth Proportional to 231,214.80, 347,340.60 and 161,230.80

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Solution

The fourth proportional to 231,214.80, 347,340.60 and 161,230.80 is: 242,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,214.80 : 347,340.60 = 161,230.80 : x
  2. Step 2: Convert to fraction form
    231,214.80/347,340.60 = 161,230.80/x
  3. Step 3: Cross multiply
    231,214.80x = 347,340.60 × 161,230.80
  4. Step 4: Simplify right side
    231,214.80x = 56,002,002,810.48
  5. Step 5: Solve for x
    x = 56,002,002,810.48/231,214.80
  6. Step 6: Final answer
    x = 242,207.69

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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.