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Finding the Fourth Proportional to 297,387.86, 410,388.73 and 161,422.07

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Solution

The fourth proportional to 297,387.86, 410,388.73 and 161,422.07 is: 222,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,387.86 : 410,388.73 = 161,422.07 : x
  2. Step 2: Convert to fraction form
    297,387.86/410,388.73 = 161,422.07/x
  3. Step 3: Cross multiply
    297,387.86x = 410,388.73 × 161,422.07
  4. Step 4: Simplify right side
    297,387.86x = 66,245,795,845.77
  5. Step 5: Solve for x
    x = 66,245,795,845.77/297,387.86
  6. Step 6: Final answer
    x = 222,758.91

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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.