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Finding the Fourth Proportional to 290,472.62, 400,844.22 and 161,407.76

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Solution

The fourth proportional to 290,472.62, 400,844.22 and 161,407.76 is: 222,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,472.62 : 400,844.22 = 161,407.76 : x
  2. Step 2: Convert to fraction form
    290,472.62/400,844.22 = 161,407.76/x
  3. Step 3: Cross multiply
    290,472.62x = 400,844.22 × 161,407.76
  4. Step 4: Simplify right side
    290,472.62x = 64,699,367,659.15
  5. Step 5: Solve for x
    x = 64,699,367,659.15/290,472.62
  6. Step 6: Final answer
    x = 222,738.27

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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.