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Finding the Fourth Proportional to 644,806.70, 965,897.85 and 329,441.30

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Solution

The fourth proportional to 644,806.70, 965,897.85 and 329,441.30 is: 493,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,806.70 : 965,897.85 = 329,441.30 : x
  2. Step 2: Convert to fraction form
    644,806.70/965,897.85 = 329,441.30/x
  3. Step 3: Cross multiply
    644,806.70x = 965,897.85 × 329,441.30
  4. Step 4: Simplify right side
    644,806.70x = 318,206,643,371.21
  5. Step 5: Solve for x
    x = 318,206,643,371.21/644,806.70
  6. Step 6: Final answer
    x = 493,491.53

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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.