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Finding the Fourth Proportional to 325,422.36, 449,029.40 and 204,478

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Solution

The fourth proportional to 325,422.36, 449,029.40 and 204,478 is: 282,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,422.36 : 449,029.40 = 204,478 : x
  2. Step 2: Convert to fraction form
    325,422.36/449,029.40 = 204,478/x
  3. Step 3: Cross multiply
    325,422.36x = 449,029.40 × 204,478
  4. Step 4: Simplify right side
    325,422.36x = 91,816,633,653.20
  5. Step 5: Solve for x
    x = 91,816,633,653.20/325,422.36
  6. Step 6: Final answer
    x = 282,146.05

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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.