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Finding the Fourth Proportional to 512,163.40, 768,245.10 and 344,201.80

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Solution

The fourth proportional to 512,163.40, 768,245.10 and 344,201.80 is: 516,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,163.40 : 768,245.10 = 344,201.80 : x
  2. Step 2: Convert to fraction form
    512,163.40/768,245.10 = 344,201.80/x
  3. Step 3: Cross multiply
    512,163.40x = 768,245.10 × 344,201.80
  4. Step 4: Simplify right side
    512,163.40x = 264,431,346,261.18
  5. Step 5: Solve for x
    x = 264,431,346,261.18/512,163.40
  6. Step 6: Final answer
    x = 516,302.70

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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.