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Finding the Fourth Proportional to 647,469.70, 970,912.95 and 247,977.70

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Solution

The fourth proportional to 647,469.70, 970,912.95 and 247,977.70 is: 371,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,469.70 : 970,912.95 = 247,977.70 : x
  2. Step 2: Convert to fraction form
    647,469.70/970,912.95 = 247,977.70/x
  3. Step 3: Cross multiply
    647,469.70x = 970,912.95 × 247,977.70
  4. Step 4: Simplify right side
    647,469.70x = 240,764,760,241.22
  5. Step 5: Solve for x
    x = 240,764,760,241.22/647,469.70
  6. Step 6: Final answer
    x = 371,854.87

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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.