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Finding the Fourth Proportional to 406,648.85, 561,178.58 and 225,363.75

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Solution

The fourth proportional to 406,648.85, 561,178.58 and 225,363.75 is: 311,003.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,648.85 : 561,178.58 = 225,363.75 : x
  2. Step 2: Convert to fraction form
    406,648.85/561,178.58 = 225,363.75/x
  3. Step 3: Cross multiply
    406,648.85x = 561,178.58 × 225,363.75
  4. Step 4: Simplify right side
    406,648.85x = 126,469,308,081.66
  5. Step 5: Solve for x
    x = 126,469,308,081.66/406,648.85
  6. Step 6: Final answer
    x = 311,003.73

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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.