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Finding the Fourth Proportional to 418,716.33, 627,980.13 and 119,190.27

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Solution

The fourth proportional to 418,716.33, 627,980.13 and 119,190.27 is: 178,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,716.33 : 627,980.13 = 119,190.27 : x
  2. Step 2: Convert to fraction form
    418,716.33/627,980.13 = 119,190.27/x
  3. Step 3: Cross multiply
    418,716.33x = 627,980.13 × 119,190.27
  4. Step 4: Simplify right side
    418,716.33x = 74,849,121,249.34
  5. Step 5: Solve for x
    x = 74,849,121,249.34/418,716.33
  6. Step 6: Final answer
    x = 178,758.54

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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.