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Finding the Fourth Proportional to 200,377.17, 300,453.17 and 137,268.45

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Solution

The fourth proportional to 200,377.17, 300,453.17 and 137,268.45 is: 205,825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,377.17 : 300,453.17 = 137,268.45 : x
  2. Step 2: Convert to fraction form
    200,377.17/300,453.17 = 137,268.45/x
  3. Step 3: Cross multiply
    200,377.17x = 300,453.17 × 137,268.45
  4. Step 4: Simplify right side
    200,377.17x = 41,242,740,257.14
  5. Step 5: Solve for x
    x = 41,242,740,257.14/200,377.17
  6. Step 6: Final answer
    x = 205,825.55

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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.