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Finding the Fourth Proportional to 406,850.85, 561,487.44 and 225,619.63

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Solution

The fourth proportional to 406,850.85, 561,487.44 and 225,619.63 is: 311,373.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,850.85 : 561,487.44 = 225,619.63 : x
  2. Step 2: Convert to fraction form
    406,850.85/561,487.44 = 225,619.63/x
  3. Step 3: Cross multiply
    406,850.85x = 561,487.44 × 225,619.63
  4. Step 4: Simplify right side
    406,850.85x = 126,682,587,904.80
  5. Step 5: Solve for x
    x = 126,682,587,904.80/406,850.85
  6. Step 6: Final answer
    x = 311,373.54

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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.