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Finding the Fourth Proportional to 406,659.29, 561,189.84 and 225,398.48

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Solution

The fourth proportional to 406,659.29, 561,189.84 and 225,398.48 is: 311,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,659.29 : 561,189.84 = 225,398.48 : x
  2. Step 2: Convert to fraction form
    406,659.29/561,189.84 = 225,398.48/x
  3. Step 3: Cross multiply
    406,659.29x = 561,189.84 × 225,398.48
  4. Step 4: Simplify right side
    406,659.29x = 126,491,334,121.49
  5. Step 5: Solve for x
    x = 126,491,334,121.49/406,659.29
  6. Step 6: Final answer
    x = 311,049.91

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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.