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Finding the Fourth Proportional to 645,138.80, 966,930.60 and 329,433.20

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Solution

The fourth proportional to 645,138.80, 966,930.60 and 329,433.20 is: 493,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,138.80 : 966,930.60 = 329,433.20 : x
  2. Step 2: Convert to fraction form
    645,138.80/966,930.60 = 329,433.20/x
  3. Step 3: Cross multiply
    645,138.80x = 966,930.60 × 329,433.20
  4. Step 4: Simplify right side
    645,138.80x = 318,539,041,735.92
  5. Step 5: Solve for x
    x = 318,539,041,735.92/645,138.80
  6. Step 6: Final answer
    x = 493,752.73

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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.