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Finding the Fourth Proportional to 418,057.50, 627,190.41 and 122,569.50

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Solution

The fourth proportional to 418,057.50, 627,190.41 and 122,569.50 is: 183,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,057.50 : 627,190.41 = 122,569.50 : x
  2. Step 2: Convert to fraction form
    418,057.50/627,190.41 = 122,569.50/x
  3. Step 3: Cross multiply
    418,057.50x = 627,190.41 × 122,569.50
  4. Step 4: Simplify right side
    418,057.50x = 76,874,414,958.50
  5. Step 5: Solve for x
    x = 76,874,414,958.50/418,057.50
  6. Step 6: Final answer
    x = 183,884.79

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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.