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Finding the Fourth Proportional to 644,804.20, 965,894.10 and 329,438.80

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Solution

The fourth proportional to 644,804.20, 965,894.10 and 329,438.80 is: 493,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,804.20 : 965,894.10 = 329,438.80 : x
  2. Step 2: Convert to fraction form
    644,804.20/965,894.10 = 329,438.80/x
  3. Step 3: Cross multiply
    644,804.20x = 965,894.10 × 329,438.80
  4. Step 4: Simplify right side
    644,804.20x = 318,202,993,231.08
  5. Step 5: Solve for x
    x = 318,202,993,231.08/644,804.20
  6. Step 6: Final answer
    x = 493,487.78

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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.