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Finding the Fourth Proportional to 202,142.60, 303,213.90 and 192,301.10

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Solution

The fourth proportional to 202,142.60, 303,213.90 and 192,301.10 is: 288,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,142.60 : 303,213.90 = 192,301.10 : x
  2. Step 2: Convert to fraction form
    202,142.60/303,213.90 = 192,301.10/x
  3. Step 3: Cross multiply
    202,142.60x = 303,213.90 × 192,301.10
  4. Step 4: Simplify right side
    202,142.60x = 58,308,366,505.29
  5. Step 5: Solve for x
    x = 58,308,366,505.29/202,142.60
  6. Step 6: Final answer
    x = 288,451.65

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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.