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Finding the Fourth Proportional to 321,330.50, 443,251.41 and 200,413.70

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Solution

The fourth proportional to 321,330.50, 443,251.41 and 200,413.70 is: 276,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,330.50 : 443,251.41 = 200,413.70 : x
  2. Step 2: Convert to fraction form
    321,330.50/443,251.41 = 200,413.70/x
  3. Step 3: Cross multiply
    321,330.50x = 443,251.41 × 200,413.70
  4. Step 4: Simplify right side
    321,330.50x = 88,833,655,108.32
  5. Step 5: Solve for x
    x = 88,833,655,108.32/321,330.50
  6. Step 6: Final answer
    x = 276,455.72

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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.