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Finding the Fourth Proportional to 274,695.84, 412,039.44 and 200,288.16

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Solution

The fourth proportional to 274,695.84, 412,039.44 and 200,288.16 is: 300,429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,695.84 : 412,039.44 = 200,288.16 : x
  2. Step 2: Convert to fraction form
    274,695.84/412,039.44 = 200,288.16/x
  3. Step 3: Cross multiply
    274,695.84x = 412,039.44 × 200,288.16
  4. Step 4: Simplify right side
    274,695.84x = 82,526,621,285.03
  5. Step 5: Solve for x
    x = 82,526,621,285.03/274,695.84
  6. Step 6: Final answer
    x = 300,429.09

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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.