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Finding the Fourth Proportional to 328,198.40, 492,297.60 and 202,227.20

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Solution

The fourth proportional to 328,198.40, 492,297.60 and 202,227.20 is: 303,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,198.40 : 492,297.60 = 202,227.20 : x
  2. Step 2: Convert to fraction form
    328,198.40/492,297.60 = 202,227.20/x
  3. Step 3: Cross multiply
    328,198.40x = 492,297.60 × 202,227.20
  4. Step 4: Simplify right side
    328,198.40x = 99,555,965,214.72
  5. Step 5: Solve for x
    x = 99,555,965,214.72/328,198.40
  6. Step 6: Final answer
    x = 303,340.80

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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.