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Finding the Fourth Proportional to 218,616.77, 328,020.44 and 76,563.95

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Solution

The fourth proportional to 218,616.77, 328,020.44 and 76,563.95 is: 114,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,616.77 : 328,020.44 = 76,563.95 : x
  2. Step 2: Convert to fraction form
    218,616.77/328,020.44 = 76,563.95/x
  3. Step 3: Cross multiply
    218,616.77x = 328,020.44 × 76,563.95
  4. Step 4: Simplify right side
    218,616.77x = 25,114,538,544.22
  5. Step 5: Solve for x
    x = 25,114,538,544.22/218,616.77
  6. Step 6: Final answer
    x = 114,879.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.