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Finding the Fourth Proportional to 295,769, 408,161.22 and 161,633

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Solution

The fourth proportional to 295,769, 408,161.22 and 161,633 is: 223,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,769 : 408,161.22 = 161,633 : x
  2. Step 2: Convert to fraction form
    295,769/408,161.22 = 161,633/x
  3. Step 3: Cross multiply
    295,769x = 408,161.22 × 161,633
  4. Step 4: Simplify right side
    295,769x = 65,972,322,472.26
  5. Step 5: Solve for x
    x = 65,972,322,472.26/295,769
  6. Step 6: Final answer
    x = 223,053.54

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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.