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Finding the Fourth Proportional to 290,188.74, 400,480.29 and 161,133.87

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Solution

The fourth proportional to 290,188.74, 400,480.29 and 161,133.87 is: 222,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,188.74 : 400,480.29 = 161,133.87 : x
  2. Step 2: Convert to fraction form
    290,188.74/400,480.29 = 161,133.87/x
  3. Step 3: Cross multiply
    290,188.74x = 400,480.29 × 161,133.87
  4. Step 4: Simplify right side
    290,188.74x = 64,530,938,986.42
  5. Step 5: Solve for x
    x = 64,530,938,986.42/290,188.74
  6. Step 6: Final answer
    x = 222,375.75

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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.