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Finding the Fourth Proportional to 397,761, 548,918.82 and 218,913

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Solution

The fourth proportional to 397,761, 548,918.82 and 218,913 is: 302,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,761 : 548,918.82 = 218,913 : x
  2. Step 2: Convert to fraction form
    397,761/548,918.82 = 218,913/x
  3. Step 3: Cross multiply
    397,761x = 548,918.82 × 218,913
  4. Step 4: Simplify right side
    397,761x = 120,165,465,642.66
  5. Step 5: Solve for x
    x = 120,165,465,642.66/397,761
  6. Step 6: Final answer
    x = 302,104.70

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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.