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Finding the Fourth Proportional to 406,696.50, 561,240.09 and 225,408.78

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Solution

The fourth proportional to 406,696.50, 561,240.09 and 225,408.78 is: 311,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,696.50 : 561,240.09 = 225,408.78 : x
  2. Step 2: Convert to fraction form
    406,696.50/561,240.09 = 225,408.78/x
  3. Step 3: Cross multiply
    406,696.50x = 561,240.09 × 225,408.78
  4. Step 4: Simplify right side
    406,696.50x = 126,508,443,973.99
  5. Step 5: Solve for x
    x = 126,508,443,973.99/406,696.50
  6. Step 6: Final answer
    x = 311,063.52

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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.