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Finding the Fourth Proportional to 406,709.80, 561,293.11 and 225,478.57

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Solution

The fourth proportional to 406,709.80, 561,293.11 and 225,478.57 is: 311,179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,709.80 : 561,293.11 = 225,478.57 : x
  2. Step 2: Convert to fraction form
    406,709.80/561,293.11 = 225,478.57/x
  3. Step 3: Cross multiply
    406,709.80x = 561,293.11 × 225,478.57
  4. Step 4: Simplify right side
    406,709.80x = 126,559,567,793.65
  5. Step 5: Solve for x
    x = 126,559,567,793.65/406,709.80
  6. Step 6: Final answer
    x = 311,179.05

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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.