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Finding the Fourth Proportional to 299,231.22, 412,456.69 and 202,399.76

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Solution

The fourth proportional to 299,231.22, 412,456.69 and 202,399.76 is: 278,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,231.22 : 412,456.69 = 202,399.76 : x
  2. Step 2: Convert to fraction form
    299,231.22/412,456.69 = 202,399.76/x
  3. Step 3: Cross multiply
    299,231.22x = 412,456.69 × 202,399.76
  4. Step 4: Simplify right side
    299,231.22x = 83,481,135,066.39
  5. Step 5: Solve for x
    x = 83,481,135,066.39/299,231.22
  6. Step 6: Final answer
    x = 278,985.38

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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.