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Finding the Fourth Proportional to 295,712, 408,082.56 and 161,576

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Solution

The fourth proportional to 295,712, 408,082.56 and 161,576 is: 222,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,712 : 408,082.56 = 161,576 : x
  2. Step 2: Convert to fraction form
    295,712/408,082.56 = 161,576/x
  3. Step 3: Cross multiply
    295,712x = 408,082.56 × 161,576
  4. Step 4: Simplify right side
    295,712x = 65,936,347,714.56
  5. Step 5: Solve for x
    x = 65,936,347,714.56/295,712
  6. Step 6: Final answer
    x = 222,974.88

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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.