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Finding the Fourth Proportional to 202,211.70, 303,317.55 and 199,101.30

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Solution

The fourth proportional to 202,211.70, 303,317.55 and 199,101.30 is: 298,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,211.70 : 303,317.55 = 199,101.30 : x
  2. Step 2: Convert to fraction form
    202,211.70/303,317.55 = 199,101.30/x
  3. Step 3: Cross multiply
    202,211.70x = 303,317.55 × 199,101.30
  4. Step 4: Simplify right side
    202,211.70x = 60,390,918,517.82
  5. Step 5: Solve for x
    x = 60,390,918,517.82/202,211.70
  6. Step 6: Final answer
    x = 298,651.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.