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Finding the Fourth Proportional to 397,245.94, 548,198.22 and 215,957.68

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Solution

The fourth proportional to 397,245.94, 548,198.22 and 215,957.68 is: 298,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,245.94 : 548,198.22 = 215,957.68 : x
  2. Step 2: Convert to fraction form
    397,245.94/548,198.22 = 215,957.68/x
  3. Step 3: Cross multiply
    397,245.94x = 548,198.22 × 215,957.68
  4. Step 4: Simplify right side
    397,245.94x = 118,387,615,771.33
  5. Step 5: Solve for x
    x = 118,387,615,771.33/397,245.94
  6. Step 6: Final answer
    x = 298,020.96

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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.