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Finding the Fourth Proportional to 295,857, 408,282.66 and 161,721

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Solution

The fourth proportional to 295,857, 408,282.66 and 161,721 is: 223,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,857 : 408,282.66 = 161,721 : x
  2. Step 2: Convert to fraction form
    295,857/408,282.66 = 161,721/x
  3. Step 3: Cross multiply
    295,857x = 408,282.66 × 161,721
  4. Step 4: Simplify right side
    295,857x = 66,027,880,057.86
  5. Step 5: Solve for x
    x = 66,027,880,057.86/295,857
  6. Step 6: Final answer
    x = 223,174.98

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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.