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Finding the Fourth Proportional to 291,078.33, 401,747.82 and 170,249.31

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Solution

The fourth proportional to 291,078.33, 401,747.82 and 170,249.31 is: 234,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,078.33 : 401,747.82 = 170,249.31 : x
  2. Step 2: Convert to fraction form
    291,078.33/401,747.82 = 170,249.31/x
  3. Step 3: Cross multiply
    291,078.33x = 401,747.82 × 170,249.31
  4. Step 4: Simplify right side
    291,078.33x = 68,397,289,149.00
  5. Step 5: Solve for x
    x = 68,397,289,149.00/291,078.33
  6. Step 6: Final answer
    x = 234,978.98

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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.