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Finding the Fourth Proportional to 290,310.82, 400,618.65 and 162,991.78

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Solution

The fourth proportional to 290,310.82, 400,618.65 and 162,991.78 is: 224,922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,310.82 : 400,618.65 = 162,991.78 : x
  2. Step 2: Convert to fraction form
    290,310.82/400,618.65 = 162,991.78/x
  3. Step 3: Cross multiply
    290,310.82x = 400,618.65 × 162,991.78
  4. Step 4: Simplify right side
    290,310.82x = 65,297,546,864.70
  5. Step 5: Solve for x
    x = 65,297,546,864.70/290,310.82
  6. Step 6: Final answer
    x = 224,922.88

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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.