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Finding the Fourth Proportional to 644,542.60, 965,661.90 and 311,384.20

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Solution

The fourth proportional to 644,542.60, 965,661.90 and 311,384.20 is: 466,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,542.60 : 965,661.90 = 311,384.20 : x
  2. Step 2: Convert to fraction form
    644,542.60/965,661.90 = 311,384.20/x
  3. Step 3: Cross multiply
    644,542.60x = 965,661.90 × 311,384.20
  4. Step 4: Simplify right side
    644,542.60x = 300,691,858,201.98
  5. Step 5: Solve for x
    x = 300,691,858,201.98/644,542.60
  6. Step 6: Final answer
    x = 466,519.76

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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.