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Finding the Fourth Proportional to 298,109.92, 411,391.39 and 170,786.02

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Solution

The fourth proportional to 298,109.92, 411,391.39 and 170,786.02 is: 235,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,109.92 : 411,391.39 = 170,786.02 : x
  2. Step 2: Convert to fraction form
    298,109.92/411,391.39 = 170,786.02/x
  3. Step 3: Cross multiply
    298,109.92x = 411,391.39 × 170,786.02
  4. Step 4: Simplify right side
    298,109.92x = 70,259,895,249.48
  5. Step 5: Solve for x
    x = 70,259,895,249.48/298,109.92
  6. Step 6: Final answer
    x = 235,684.53

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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.