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Finding the Fourth Proportional to 414,838, 622,257 and 119,350

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Solution

The fourth proportional to 414,838, 622,257 and 119,350 is: 179,025

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,838 : 622,257 = 119,350 : x
  2. Step 2: Convert to fraction form
    414,838/622,257 = 119,350/x
  3. Step 3: Cross multiply
    414,838x = 622,257 × 119,350
  4. Step 4: Simplify right side
    414,838x = 74,266,372,950
  5. Step 5: Solve for x
    x = 74,266,372,950/414,838
  6. Step 6: Final answer
    x = 179,025

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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.