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Finding the Fourth Proportional to 290,387.75, 400,739.82 and 161,334.55

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Solution

The fourth proportional to 290,387.75, 400,739.82 and 161,334.55 is: 222,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,387.75 : 400,739.82 = 161,334.55 : x
  2. Step 2: Convert to fraction form
    290,387.75/400,739.82 = 161,334.55/x
  3. Step 3: Cross multiply
    290,387.75x = 400,739.82 × 161,334.55
  4. Step 4: Simplify right side
    290,387.75x = 64,653,175,716.41
  5. Step 5: Solve for x
    x = 64,653,175,716.41/290,387.75
  6. Step 6: Final answer
    x = 222,644.30

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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.