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Finding the Fourth Proportional to 303,974.15, 419,542.14 and 200,426.18

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Solution

The fourth proportional to 303,974.15, 419,542.14 and 200,426.18 is: 276,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,974.15 : 419,542.14 = 200,426.18 : x
  2. Step 2: Convert to fraction form
    303,974.15/419,542.14 = 200,426.18/x
  3. Step 3: Cross multiply
    303,974.15x = 419,542.14 × 200,426.18
  4. Step 4: Simplify right side
    303,974.15x = 84,087,226,371.51
  5. Step 5: Solve for x
    x = 84,087,226,371.51/303,974.15
  6. Step 6: Final answer
    x = 276,626.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.