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Finding the Fourth Proportional to 300,297.96, 414,751.32 and 204,638.58

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Solution

The fourth proportional to 300,297.96, 414,751.32 and 204,638.58 is: 282,633.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,297.96 : 414,751.32 = 204,638.58 : x
  2. Step 2: Convert to fraction form
    300,297.96/414,751.32 = 204,638.58/x
  3. Step 3: Cross multiply
    300,297.96x = 414,751.32 × 204,638.58
  4. Step 4: Simplify right side
    300,297.96x = 84,874,121,177.93
  5. Step 5: Solve for x
    x = 84,874,121,177.93/300,297.96
  6. Step 6: Final answer
    x = 282,633.03

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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.