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Finding the Fourth Proportional to 406,991.58, 561,705.75 and 225,743.82

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Solution

The fourth proportional to 406,991.58, 561,705.75 and 225,743.82 is: 311,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,991.58 : 561,705.75 = 225,743.82 : x
  2. Step 2: Convert to fraction form
    406,991.58/561,705.75 = 225,743.82/x
  3. Step 3: Cross multiply
    406,991.58x = 561,705.75 × 225,743.82
  4. Step 4: Simplify right side
    406,991.58x = 126,801,601,720.97
  5. Step 5: Solve for x
    x = 126,801,601,720.97/406,991.58
  6. Step 6: Final answer
    x = 311,558.29

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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.