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Finding the Fourth Proportional to 307,584.38, 424,201.38 and 200,115.20

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Solution

The fourth proportional to 307,584.38, 424,201.38 and 200,115.20 is: 275,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,584.38 : 424,201.38 = 200,115.20 : x
  2. Step 2: Convert to fraction form
    307,584.38/424,201.38 = 200,115.20/x
  3. Step 3: Cross multiply
    307,584.38x = 424,201.38 × 200,115.20
  4. Step 4: Simplify right side
    307,584.38x = 84,889,143,998.98
  5. Step 5: Solve for x
    x = 84,889,143,998.98/307,584.38
  6. Step 6: Final answer
    x = 275,986.52

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1.5x scale

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.