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Finding the Fourth Proportional to 644,093.80, 966,140.70 and 329,165.80

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Solution

The fourth proportional to 644,093.80, 966,140.70 and 329,165.80 is: 493,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,093.80 : 966,140.70 = 329,165.80 : x
  2. Step 2: Convert to fraction form
    644,093.80/966,140.70 = 329,165.80/x
  3. Step 3: Cross multiply
    644,093.80x = 966,140.70 × 329,165.80
  4. Step 4: Simplify right side
    644,093.80x = 318,020,476,428.06
  5. Step 5: Solve for x
    x = 318,020,476,428.06/644,093.80
  6. Step 6: Final answer
    x = 493,748.70

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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.