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Finding the Fourth Proportional to 664,676.40, 996,431.40 and 398,542.80

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Solution

The fourth proportional to 664,676.40, 996,431.40 and 398,542.80 is: 597,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,676.40 : 996,431.40 = 398,542.80 : x
  2. Step 2: Convert to fraction form
    664,676.40/996,431.40 = 398,542.80/x
  3. Step 3: Cross multiply
    664,676.40x = 996,431.40 × 398,542.80
  4. Step 4: Simplify right side
    664,676.40x = 397,120,560,163.92
  5. Step 5: Solve for x
    x = 397,120,560,163.92/664,676.40
  6. Step 6: Final answer
    x = 597,464.51

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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.