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Finding the Fourth Proportional to 290,387.25, 400,739.13 and 161,334.05

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Solution

The fourth proportional to 290,387.25, 400,739.13 and 161,334.05 is: 222,643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,387.25 : 400,739.13 = 161,334.05 : x
  2. Step 2: Convert to fraction form
    290,387.25/400,739.13 = 161,334.05/x
  3. Step 3: Cross multiply
    290,387.25x = 400,739.13 × 161,334.05
  4. Step 4: Simplify right side
    290,387.25x = 64,652,864,026.01
  5. Step 5: Solve for x
    x = 64,652,864,026.01/290,387.25
  6. Step 6: Final answer
    x = 222,643.61

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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.