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Finding the Fourth Proportional to 321,952.75, 444,041.27 and 285,198.27

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Solution

The fourth proportional to 321,952.75, 444,041.27 and 285,198.27 is: 393,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,952.75 : 444,041.27 = 285,198.27 : x
  2. Step 2: Convert to fraction form
    321,952.75/444,041.27 = 285,198.27/x
  3. Step 3: Cross multiply
    321,952.75x = 444,041.27 × 285,198.27
  4. Step 4: Simplify right side
    321,952.75x = 126,639,802,012.60
  5. Step 5: Solve for x
    x = 126,639,802,012.60/321,952.75
  6. Step 6: Final answer
    x = 393,349.03

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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.