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Finding the Fourth Proportional to 371,963.26, 513,308.90 and 202,198.60

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Solution

The fourth proportional to 371,963.26, 513,308.90 and 202,198.60 is: 279,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,963.26 : 513,308.90 = 202,198.60 : x
  2. Step 2: Convert to fraction form
    371,963.26/513,308.90 = 202,198.60/x
  3. Step 3: Cross multiply
    371,963.26x = 513,308.90 × 202,198.60
  4. Step 4: Simplify right side
    371,963.26x = 103,790,340,947.54
  5. Step 5: Solve for x
    x = 103,790,340,947.54/371,963.26
  6. Step 6: Final answer
    x = 279,033.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.