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Finding the Fourth Proportional to 321,330, 443,250.72 and 200,413.20

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Solution

The fourth proportional to 321,330, 443,250.72 and 200,413.20 is: 276,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,330 : 443,250.72 = 200,413.20 : x
  2. Step 2: Convert to fraction form
    321,330/443,250.72 = 200,413.20/x
  3. Step 3: Cross multiply
    321,330x = 443,250.72 × 200,413.20
  4. Step 4: Simplify right side
    321,330x = 88,833,295,197.50
  5. Step 5: Solve for x
    x = 88,833,295,197.50/321,330
  6. Step 6: Final answer
    x = 276,455.03

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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.