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Finding the Fourth Proportional to 202,209.70, 303,314.55 and 198,273.10

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Solution

The fourth proportional to 202,209.70, 303,314.55 and 198,273.10 is: 297,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,209.70 : 303,314.55 = 198,273.10 : x
  2. Step 2: Convert to fraction form
    202,209.70/303,314.55 = 198,273.10/x
  3. Step 3: Cross multiply
    202,209.70x = 303,314.55 × 198,273.10
  4. Step 4: Simplify right side
    202,209.70x = 60,139,116,103.61
  5. Step 5: Solve for x
    x = 60,139,116,103.61/202,209.70
  6. Step 6: Final answer
    x = 297,409.65

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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.