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Finding the Fourth Proportional to 378,879.56, 567,827.26 and 153,978.27

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Solution

The fourth proportional to 378,879.56, 567,827.26 and 153,978.27 is: 230,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,879.56 : 567,827.26 = 153,978.27 : x
  2. Step 2: Convert to fraction form
    378,879.56/567,827.26 = 153,978.27/x
  3. Step 3: Cross multiply
    378,879.56x = 567,827.26 × 153,978.27
  4. Step 4: Simplify right side
    378,879.56x = 87,433,058,383.75
  5. Step 5: Solve for x
    x = 87,433,058,383.75/378,879.56
  6. Step 6: Final answer
    x = 230,767.42

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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.