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Finding the Fourth Proportional to 290,213.78, 400,645.32 and 225,538.52

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Solution

The fourth proportional to 290,213.78, 400,645.32 and 225,538.52 is: 311,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,213.78 : 400,645.32 = 225,538.52 : x
  2. Step 2: Convert to fraction form
    290,213.78/400,645.32 = 225,538.52/x
  3. Step 3: Cross multiply
    290,213.78x = 400,645.32 × 225,538.52
  4. Step 4: Simplify right side
    290,213.78x = 90,360,952,517.73
  5. Step 5: Solve for x
    x = 90,360,952,517.73/290,213.78
  6. Step 6: Final answer
    x = 311,359.97

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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.