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Finding the Fourth Proportional to 378,142.56, 567,155.52 and 167,743.44

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Solution

The fourth proportional to 378,142.56, 567,155.52 and 167,743.44 is: 251,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,142.56 : 567,155.52 = 167,743.44 : x
  2. Step 2: Convert to fraction form
    378,142.56/567,155.52 = 167,743.44/x
  3. Step 3: Cross multiply
    378,142.56x = 567,155.52 × 167,743.44
  4. Step 4: Simplify right side
    378,142.56x = 95,136,617,939.79
  5. Step 5: Solve for x
    x = 95,136,617,939.79/378,142.56
  6. Step 6: Final answer
    x = 251,589.29

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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.