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Finding the Fourth Proportional to 647,535.62, 969,471.78 and 343,236.44

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Solution

The fourth proportional to 647,535.62, 969,471.78 and 343,236.44 is: 513,883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,535.62 : 969,471.78 = 343,236.44 : x
  2. Step 2: Convert to fraction form
    647,535.62/969,471.78 = 343,236.44/x
  3. Step 3: Cross multiply
    647,535.62x = 969,471.78 × 343,236.44
  4. Step 4: Simplify right side
    647,535.62x = 332,758,042,447.66
  5. Step 5: Solve for x
    x = 332,758,042,447.66/647,535.62
  6. Step 6: Final answer
    x = 513,883.77

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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.