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Finding the Fourth Proportional to 202,208.70, 303,313.05 and 198,272.10

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Solution

The fourth proportional to 202,208.70, 303,313.05 and 198,272.10 is: 297,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,208.70 : 303,313.05 = 198,272.10 : x
  2. Step 2: Convert to fraction form
    202,208.70/303,313.05 = 198,272.10/x
  3. Step 3: Cross multiply
    202,208.70x = 303,313.05 × 198,272.10
  4. Step 4: Simplify right side
    202,208.70x = 60,138,515,380.91
  5. Step 5: Solve for x
    x = 60,138,515,380.91/202,208.70
  6. Step 6: Final answer
    x = 297,408.15

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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.