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Finding the Fourth Proportional to 647,338.28, 970,972.34 and 198,059.22

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Solution

The fourth proportional to 647,338.28, 970,972.34 and 198,059.22 is: 297,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,338.28 : 970,972.34 = 198,059.22 : x
  2. Step 2: Convert to fraction form
    647,338.28/970,972.34 = 198,059.22/x
  3. Step 3: Cross multiply
    647,338.28x = 970,972.34 × 198,059.22
  4. Step 4: Simplify right side
    647,338.28x = 192,310,023,311.68
  5. Step 5: Solve for x
    x = 192,310,023,311.68/647,338.28
  6. Step 6: Final answer
    x = 297,078.10

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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.