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Finding the Fourth Proportional to 378,289.14, 567,569.22 and 162,057.16

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Solution

The fourth proportional to 378,289.14, 567,569.22 and 162,057.16 is: 243,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,289.14 : 567,569.22 = 162,057.16 : x
  2. Step 2: Convert to fraction form
    378,289.14/567,569.22 = 162,057.16/x
  3. Step 3: Cross multiply
    378,289.14x = 567,569.22 × 162,057.16
  4. Step 4: Simplify right side
    378,289.14x = 91,978,655,896.62
  5. Step 5: Solve for x
    x = 91,978,655,896.62/378,289.14
  6. Step 6: Final answer
    x = 243,143.79

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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.