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Finding the Fourth Proportional to 295,927, 408,380.70 and 161,791

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Solution

The fourth proportional to 295,927, 408,380.70 and 161,791 is: 223,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,927 : 408,380.70 = 161,791 : x
  2. Step 2: Convert to fraction form
    295,927/408,380.70 = 161,791/x
  3. Step 3: Cross multiply
    295,927x = 408,380.70 × 161,791
  4. Step 4: Simplify right side
    295,927x = 66,072,321,833.70
  5. Step 5: Solve for x
    x = 66,072,321,833.70/295,927
  6. Step 6: Final answer
    x = 223,272.37

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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.