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Finding the Fourth Proportional to 397,161.64, 548,086.74 and 215,874

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Solution

The fourth proportional to 397,161.64, 548,086.74 and 215,874 is: 297,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,161.64 : 548,086.74 = 215,874 : x
  2. Step 2: Convert to fraction form
    397,161.64/548,086.74 = 215,874/x
  3. Step 3: Cross multiply
    397,161.64x = 548,086.74 × 215,874
  4. Step 4: Simplify right side
    397,161.64x = 118,317,676,910.76
  5. Step 5: Solve for x
    x = 118,317,676,910.76/397,161.64
  6. Step 6: Final answer
    x = 297,908.12

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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.