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Finding the Fourth Proportional to 406,919.25, 561,555.32 and 225,638.82

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Solution

The fourth proportional to 406,919.25, 561,555.32 and 225,638.82 is: 311,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,919.25 : 561,555.32 = 225,638.82 : x
  2. Step 2: Convert to fraction form
    406,919.25/561,555.32 = 225,638.82/x
  3. Step 3: Cross multiply
    406,919.25x = 561,555.32 × 225,638.82
  4. Step 4: Simplify right side
    406,919.25x = 126,708,678,641.33
  5. Step 5: Solve for x
    x = 126,708,678,641.33/406,919.25
  6. Step 6: Final answer
    x = 311,385.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.