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Finding the Fourth Proportional to 290,412.90, 400,764.60 and 161,351.97

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Solution

The fourth proportional to 290,412.90, 400,764.60 and 161,351.97 is: 222,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,412.90 : 400,764.60 = 161,351.97 : x
  2. Step 2: Convert to fraction form
    290,412.90/400,764.60 = 161,351.97/x
  3. Step 3: Cross multiply
    290,412.90x = 400,764.60 × 161,351.97
  4. Step 4: Simplify right side
    290,412.90x = 64,664,157,716.26
  5. Step 5: Solve for x
    x = 64,664,157,716.26/290,412.90
  6. Step 6: Final answer
    x = 222,662.83

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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.