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Finding the Fourth Proportional to 406,781.85, 561,363.21 and 225,497.37

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Solution

The fourth proportional to 406,781.85, 561,363.21 and 225,497.37 is: 311,188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,781.85 : 561,363.21 = 225,497.37 : x
  2. Step 2: Convert to fraction form
    406,781.85/561,363.21 = 225,497.37/x
  3. Step 3: Cross multiply
    406,781.85x = 561,363.21 × 225,497.37
  4. Step 4: Simplify right side
    406,781.85x = 126,585,927,469.76
  5. Step 5: Solve for x
    x = 126,585,927,469.76/406,781.85
  6. Step 6: Final answer
    x = 311,188.73

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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.