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Finding the Fourth Proportional to 298,034.11, 411,297.89 and 170,734.31

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Solution

The fourth proportional to 298,034.11, 411,297.89 and 170,734.31 is: 235,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,034.11 : 411,297.89 = 170,734.31 : x
  2. Step 2: Convert to fraction form
    298,034.11/411,297.89 = 170,734.31/x
  3. Step 3: Cross multiply
    298,034.11x = 411,297.89 × 170,734.31
  4. Step 4: Simplify right side
    298,034.11x = 70,222,661,453.61
  5. Step 5: Solve for x
    x = 70,222,661,453.61/298,034.11
  6. Step 6: Final answer
    x = 235,619.55

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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.