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Finding the Fourth Proportional to 297,384.66, 410,390.91 and 161,418.60

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Solution

The fourth proportional to 297,384.66, 410,390.91 and 161,418.60 is: 222,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,384.66 : 410,390.91 = 161,418.60 : x
  2. Step 2: Convert to fraction form
    297,384.66/410,390.91 = 161,418.60/x
  3. Step 3: Cross multiply
    297,384.66x = 410,390.91 × 161,418.60
  4. Step 4: Simplify right side
    297,384.66x = 66,244,726,144.93
  5. Step 5: Solve for x
    x = 66,244,726,144.93/297,384.66
  6. Step 6: Final answer
    x = 222,757.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.