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Finding the Fourth Proportional to 202,143.60, 303,215.40 and 199,519.20

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Solution

The fourth proportional to 202,143.60, 303,215.40 and 199,519.20 is: 299,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,143.60 : 303,215.40 = 199,519.20 : x
  2. Step 2: Convert to fraction form
    202,143.60/303,215.40 = 199,519.20/x
  3. Step 3: Cross multiply
    202,143.60x = 303,215.40 × 199,519.20
  4. Step 4: Simplify right side
    202,143.60x = 60,497,294,035.68
  5. Step 5: Solve for x
    x = 60,497,294,035.68/202,143.60
  6. Step 6: Final answer
    x = 299,278.80

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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.