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Finding the Fourth Proportional to 397,734, 548,874 and 218,886

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Solution

The fourth proportional to 397,734, 548,874 and 218,886 is: 302,063.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,734 : 548,874 = 218,886 : x
  2. Step 2: Convert to fraction form
    397,734/548,874 = 218,886/x
  3. Step 3: Cross multiply
    397,734x = 548,874 × 218,886
  4. Step 4: Simplify right side
    397,734x = 120,140,834,364
  5. Step 5: Solve for x
    x = 120,140,834,364/397,734
  6. Step 6: Final answer
    x = 302,063.27

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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.