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Finding the Fourth Proportional to 285,896.71, 428,871.61 and 204,080.44

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Solution

The fourth proportional to 285,896.71, 428,871.61 and 204,080.44 is: 306,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,896.71 : 428,871.61 = 204,080.44 : x
  2. Step 2: Convert to fraction form
    285,896.71/428,871.61 = 204,080.44/x
  3. Step 3: Cross multiply
    285,896.71x = 428,871.61 × 204,080.44
  4. Step 4: Simplify right side
    285,896.71x = 87,524,305,653.16
  5. Step 5: Solve for x
    x = 87,524,305,653.16/285,896.71
  6. Step 6: Final answer
    x = 306,139.60

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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.