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Finding the Fourth Proportional to 406,711.80, 561,295.86 and 225,480.57

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Solution

The fourth proportional to 406,711.80, 561,295.86 and 225,480.57 is: 311,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,711.80 : 561,295.86 = 225,480.57 : x
  2. Step 2: Convert to fraction form
    406,711.80/561,295.86 = 225,480.57/x
  3. Step 3: Cross multiply
    406,711.80x = 561,295.86 × 225,480.57
  4. Step 4: Simplify right side
    406,711.80x = 126,561,310,451.44
  5. Step 5: Solve for x
    x = 126,561,310,451.44/406,711.80
  6. Step 6: Final answer
    x = 311,181.80

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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.