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Finding the Fourth Proportional to 321,360, 443,292.12 and 200,443.20

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Solution

The fourth proportional to 321,360, 443,292.12 and 200,443.20 is: 276,496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,360 : 443,292.12 = 200,443.20 : x
  2. Step 2: Convert to fraction form
    321,360/443,292.12 = 200,443.20/x
  3. Step 3: Cross multiply
    321,360x = 443,292.12 × 200,443.20
  4. Step 4: Simplify right side
    321,360x = 88,854,891,067.58
  5. Step 5: Solve for x
    x = 88,854,891,067.58/321,360
  6. Step 6: Final answer
    x = 276,496.42

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1.5x scale

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.