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Finding the Fourth Proportional to 512,251.40, 768,369.90 and 231,768.20

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Solution

The fourth proportional to 512,251.40, 768,369.90 and 231,768.20 is: 347,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,251.40 : 768,369.90 = 231,768.20 : x
  2. Step 2: Convert to fraction form
    512,251.40/768,369.90 = 231,768.20/x
  3. Step 3: Cross multiply
    512,251.40x = 768,369.90 × 231,768.20
  4. Step 4: Simplify right side
    512,251.40x = 178,083,708,657.18
  5. Step 5: Solve for x
    x = 178,083,708,657.18/512,251.40
  6. Step 6: Final answer
    x = 347,649.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.