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Finding the Fourth Proportional to 418,190.94, 627,232.42 and 133,857.70

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Solution

The fourth proportional to 418,190.94, 627,232.42 and 133,857.70 is: 200,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,190.94 : 627,232.42 = 133,857.70 : x
  2. Step 2: Convert to fraction form
    418,190.94/627,232.42 = 133,857.70/x
  3. Step 3: Cross multiply
    418,190.94x = 627,232.42 × 133,857.70
  4. Step 4: Simplify right side
    418,190.94x = 83,959,889,106.63
  5. Step 5: Solve for x
    x = 83,959,889,106.63/418,190.94
  6. Step 6: Final answer
    x = 200,769.27

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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.