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Finding the Fourth Proportional to 415,016.24, 622,718.78 and 204,539.36

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Solution

The fourth proportional to 415,016.24, 622,718.78 and 204,539.36 is: 306,904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,016.24 : 622,718.78 = 204,539.36 : x
  2. Step 2: Convert to fraction form
    415,016.24/622,718.78 = 204,539.36/x
  3. Step 3: Cross multiply
    415,016.24x = 622,718.78 × 204,539.36
  4. Step 4: Simplify right side
    415,016.24x = 127,370,500,721.18
  5. Step 5: Solve for x
    x = 127,370,500,721.18/415,016.24
  6. Step 6: Final answer
    x = 306,904.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.