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Finding the Fourth Proportional to 397,675, 548,791.50 and 218,827

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Solution

The fourth proportional to 397,675, 548,791.50 and 218,827 is: 301,981.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,675 : 548,791.50 = 218,827 : x
  2. Step 2: Convert to fraction form
    397,675/548,791.50 = 218,827/x
  3. Step 3: Cross multiply
    397,675x = 548,791.50 × 218,827
  4. Step 4: Simplify right side
    397,675x = 120,090,397,570.50
  5. Step 5: Solve for x
    x = 120,090,397,570.50/397,675
  6. Step 6: Final answer
    x = 301,981.26

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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.