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Finding the Fourth Proportional to 218,651.25, 328,003.16 and 206,693.83

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Solution

The fourth proportional to 218,651.25, 328,003.16 and 206,693.83 is: 310,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,651.25 : 328,003.16 = 206,693.83 : x
  2. Step 2: Convert to fraction form
    218,651.25/328,003.16 = 206,693.83/x
  3. Step 3: Cross multiply
    218,651.25x = 328,003.16 × 206,693.83
  4. Step 4: Simplify right side
    218,651.25x = 67,796,229,392.50
  5. Step 5: Solve for x
    x = 67,796,229,392.50/218,651.25
  6. Step 6: Final answer
    x = 310,065.59

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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.