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Finding the Fourth Proportional to 406,872.64, 561,481.56 and 225,584.62

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Solution

The fourth proportional to 406,872.64, 561,481.56 and 225,584.62 is: 311,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,872.64 : 561,481.56 = 225,584.62 : x
  2. Step 2: Convert to fraction form
    406,872.64/561,481.56 = 225,584.62/x
  3. Step 3: Cross multiply
    406,872.64x = 561,481.56 × 225,584.62
  4. Step 4: Simplify right side
    406,872.64x = 126,661,604,349.61
  5. Step 5: Solve for x
    x = 126,661,604,349.61/406,872.64
  6. Step 6: Final answer
    x = 311,305.29

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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.