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Finding the Fourth Proportional to 231,624.60, 347,145.30 and 205,380.60

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Solution

The fourth proportional to 231,624.60, 347,145.30 and 205,380.60 is: 307,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,624.60 : 347,145.30 = 205,380.60 : x
  2. Step 2: Convert to fraction form
    231,624.60/347,145.30 = 205,380.60/x
  3. Step 3: Cross multiply
    231,624.60x = 347,145.30 × 205,380.60
  4. Step 4: Simplify right side
    231,624.60x = 71,296,910,001.18
  5. Step 5: Solve for x
    x = 71,296,910,001.18/231,624.60
  6. Step 6: Final answer
    x = 307,812.34

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1.5x scale

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.