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Finding the Fourth Proportional to 202,238.70, 303,358.05 and 198,302.10

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Solution

The fourth proportional to 202,238.70, 303,358.05 and 198,302.10 is: 297,453.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,238.70 : 303,358.05 = 198,302.10 : x
  2. Step 2: Convert to fraction form
    202,238.70/303,358.05 = 198,302.10/x
  3. Step 3: Cross multiply
    202,238.70x = 303,358.05 × 198,302.10
  4. Step 4: Simplify right side
    202,238.70x = 60,156,538,366.91
  5. Step 5: Solve for x
    x = 60,156,538,366.91/202,238.70
  6. Step 6: Final answer
    x = 297,453.15

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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.