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Finding the Fourth Proportional to 406,871.52, 561,481.70 and 225,578.82

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Solution

The fourth proportional to 406,871.52, 561,481.70 and 225,578.82 is: 311,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,871.52 : 561,481.70 = 225,578.82 : x
  2. Step 2: Convert to fraction form
    406,871.52/561,481.70 = 225,578.82/x
  3. Step 3: Cross multiply
    406,871.52x = 561,481.70 × 225,578.82
  4. Step 4: Simplify right side
    406,871.52x = 126,658,379,337.59
  5. Step 5: Solve for x
    x = 126,658,379,337.59/406,871.52
  6. Step 6: Final answer
    x = 311,298.22

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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.