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Finding the Fourth Proportional to 295,997.88, 408,468.78 and 161,859

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Solution

The fourth proportional to 295,997.88, 408,468.78 and 161,859 is: 223,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,997.88 : 408,468.78 = 161,859 : x
  2. Step 2: Convert to fraction form
    295,997.88/408,468.78 = 161,859/x
  3. Step 3: Cross multiply
    295,997.88x = 408,468.78 × 161,859
  4. Step 4: Simplify right side
    295,997.88x = 66,114,348,262.02
  5. Step 5: Solve for x
    x = 66,114,348,262.02/295,997.88
  6. Step 6: Final answer
    x = 223,360.88

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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.