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Finding the Fourth Proportional to 299,993.68, 413,995.68 and 203,227.12

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Solution

The fourth proportional to 299,993.68, 413,995.68 and 203,227.12 is: 280,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,993.68 : 413,995.68 = 203,227.12 : x
  2. Step 2: Convert to fraction form
    299,993.68/413,995.68 = 203,227.12/x
  3. Step 3: Cross multiply
    299,993.68x = 413,995.68 × 203,227.12
  4. Step 4: Simplify right side
    299,993.68x = 84,135,149,738.84
  5. Step 5: Solve for x
    x = 84,135,149,738.84/299,993.68
  6. Step 6: Final answer
    x = 280,456.41

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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.