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Finding the Fourth Proportional to 300,198.96, 414,614.70 and 204,539.58

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Solution

The fourth proportional to 300,198.96, 414,614.70 and 204,539.58 is: 282,496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,198.96 : 414,614.70 = 204,539.58 : x
  2. Step 2: Convert to fraction form
    300,198.96/414,614.70 = 204,539.58/x
  3. Step 3: Cross multiply
    300,198.96x = 414,614.70 × 204,539.58
  4. Step 4: Simplify right side
    300,198.96x = 84,805,116,599.83
  5. Step 5: Solve for x
    x = 84,805,116,599.83/300,198.96
  6. Step 6: Final answer
    x = 282,496.37

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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.