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Finding the Fourth Proportional to 321,033.48, 442,749.78 and 200,048.64

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Solution

The fourth proportional to 321,033.48, 442,749.78 and 200,048.64 is: 275,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,033.48 : 442,749.78 = 200,048.64 : x
  2. Step 2: Convert to fraction form
    321,033.48/442,749.78 = 200,048.64/x
  3. Step 3: Cross multiply
    321,033.48x = 442,749.78 × 200,048.64
  4. Step 4: Simplify right side
    321,033.48x = 88,571,491,349.30
  5. Step 5: Solve for x
    x = 88,571,491,349.30/321,033.48
  6. Step 6: Final answer
    x = 275,894.87

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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.