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Finding the Fourth Proportional to 397,648, 548,754.24 and 218,800

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Solution

The fourth proportional to 397,648, 548,754.24 and 218,800 is: 301,944

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,648 : 548,754.24 = 218,800 : x
  2. Step 2: Convert to fraction form
    397,648/548,754.24 = 218,800/x
  3. Step 3: Cross multiply
    397,648x = 548,754.24 × 218,800
  4. Step 4: Simplify right side
    397,648x = 120,067,427,712
  5. Step 5: Solve for x
    x = 120,067,427,712/397,648
  6. Step 6: Final answer
    x = 301,944

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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.