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Finding the Fourth Proportional to 202,145.70, 303,218.55 and 198,209.10

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Solution

The fourth proportional to 202,145.70, 303,218.55 and 198,209.10 is: 297,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,145.70 : 303,218.55 = 198,209.10 : x
  2. Step 2: Convert to fraction form
    202,145.70/303,218.55 = 198,209.10/x
  3. Step 3: Cross multiply
    202,145.70x = 303,218.55 × 198,209.10
  4. Step 4: Simplify right side
    202,145.70x = 60,100,675,898.81
  5. Step 5: Solve for x
    x = 60,100,675,898.81/202,145.70
  6. Step 6: Final answer
    x = 297,313.65

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1.5x scale

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.