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Finding the Fourth Proportional to 290,584.52, 401,016.90 and 163,257.56

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Solution

The fourth proportional to 290,584.52, 401,016.90 and 163,257.56 is: 225,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,584.52 : 401,016.90 = 163,257.56 : x
  2. Step 2: Convert to fraction form
    290,584.52/401,016.90 = 163,257.56/x
  3. Step 3: Cross multiply
    290,584.52x = 401,016.90 × 163,257.56
  4. Step 4: Simplify right side
    290,584.52x = 65,469,040,612.76
  5. Step 5: Solve for x
    x = 65,469,040,612.76/290,584.52
  6. Step 6: Final answer
    x = 225,301.20

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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.