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Finding the Fourth Proportional to 200,314.39, 300,039.60 and 188,537.38

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Solution

The fourth proportional to 200,314.39, 300,039.60 and 188,537.38 is: 282,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,314.39 : 300,039.60 = 188,537.38 : x
  2. Step 2: Convert to fraction form
    200,314.39/300,039.60 = 188,537.38/x
  3. Step 3: Cross multiply
    200,314.39x = 300,039.60 × 188,537.38
  4. Step 4: Simplify right side
    200,314.39x = 56,568,680,080.25
  5. Step 5: Solve for x
    x = 56,568,680,080.25/200,314.39
  6. Step 6: Final answer
    x = 282,399.48

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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.