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Finding the Fourth Proportional to 321,200.40, 443,473.07 and 287,099.61

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Solution

The fourth proportional to 321,200.40, 443,473.07 and 287,099.61 is: 396,390.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,200.40 : 443,473.07 = 287,099.61 : x
  2. Step 2: Convert to fraction form
    321,200.40/443,473.07 = 287,099.61/x
  3. Step 3: Cross multiply
    321,200.40x = 443,473.07 × 287,099.61
  4. Step 4: Simplify right side
    321,200.40x = 127,320,945,442.50
  5. Step 5: Solve for x
    x = 127,320,945,442.50/321,200.40
  6. Step 6: Final answer
    x = 396,390.99

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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.