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Finding the Fourth Proportional to 200,474.82, 276,643.38 and 109,812.78

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Solution

The fourth proportional to 200,474.82, 276,643.38 and 109,812.78 is: 151,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,474.82 : 276,643.38 = 109,812.78 : x
  2. Step 2: Convert to fraction form
    200,474.82/276,643.38 = 109,812.78/x
  3. Step 3: Cross multiply
    200,474.82x = 276,643.38 × 109,812.78
  4. Step 4: Simplify right side
    200,474.82x = 30,378,978,626.40
  5. Step 5: Solve for x
    x = 30,378,978,626.40/200,474.82
  6. Step 6: Final answer
    x = 151,535.13

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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.