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Finding the Fourth Proportional to 299,230.72, 412,456.01 and 202,399.26

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Solution

The fourth proportional to 299,230.72, 412,456.01 and 202,399.26 is: 278,984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,230.72 : 412,456.01 = 202,399.26 : x
  2. Step 2: Convert to fraction form
    299,230.72/412,456.01 = 202,399.26/x
  3. Step 3: Cross multiply
    299,230.72x = 412,456.01 × 202,399.26
  4. Step 4: Simplify right side
    299,230.72x = 83,480,790,194.56
  5. Step 5: Solve for x
    x = 83,480,790,194.56/299,230.72
  6. Step 6: Final answer
    x = 278,984.69

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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.