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Finding the Fourth Proportional to 378,288.71, 567,568.56 and 162,056.73

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Solution

The fourth proportional to 378,288.71, 567,568.56 and 162,056.73 is: 243,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,288.71 : 567,568.56 = 162,056.73 : x
  2. Step 2: Convert to fraction form
    378,288.71/567,568.56 = 162,056.73/x
  3. Step 3: Cross multiply
    378,288.71x = 567,568.56 × 162,056.73
  4. Step 4: Simplify right side
    378,288.71x = 91,978,304,884.41
  5. Step 5: Solve for x
    x = 91,978,304,884.41/378,288.71
  6. Step 6: Final answer
    x = 243,143.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.