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Finding the Fourth Proportional to 285,150.38, 393,463.44 and 164,268

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Solution

The fourth proportional to 285,150.38, 393,463.44 and 164,268 is: 226,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,150.38 : 393,463.44 = 164,268 : x
  2. Step 2: Convert to fraction form
    285,150.38/393,463.44 = 164,268/x
  3. Step 3: Cross multiply
    285,150.38x = 393,463.44 × 164,268
  4. Step 4: Simplify right side
    285,150.38x = 64,633,452,361.92
  5. Step 5: Solve for x
    x = 64,633,452,361.92/285,150.38
  6. Step 6: Final answer
    x = 226,664.45

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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.