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Finding the Fourth Proportional to 397,616, 548,710.08 and 218,768

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Solution

The fourth proportional to 397,616, 548,710.08 and 218,768 is: 301,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,616 : 548,710.08 = 218,768 : x
  2. Step 2: Convert to fraction form
    397,616/548,710.08 = 218,768/x
  3. Step 3: Cross multiply
    397,616x = 548,710.08 × 218,768
  4. Step 4: Simplify right side
    397,616x = 120,040,206,781.44
  5. Step 5: Solve for x
    x = 120,040,206,781.44/397,616
  6. Step 6: Final answer
    x = 301,899.84

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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.