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Finding the Fourth Proportional to 295,640.24, 407,982.84 and 161,505.20

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Solution

The fourth proportional to 295,640.24, 407,982.84 and 161,505.20 is: 222,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,640.24 : 407,982.84 = 161,505.20 : x
  2. Step 2: Convert to fraction form
    295,640.24/407,982.84 = 161,505.20/x
  3. Step 3: Cross multiply
    295,640.24x = 407,982.84 × 161,505.20
  4. Step 4: Simplify right side
    295,640.24x = 65,891,350,170.77
  5. Step 5: Solve for x
    x = 65,891,350,170.77/295,640.24
  6. Step 6: Final answer
    x = 222,876.80

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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.