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Finding the Fourth Proportional to 209,443.84, 311,796.75 and 208,198.26

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Solution

The fourth proportional to 209,443.84, 311,796.75 and 208,198.26 is: 309,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,443.84 : 311,796.75 = 208,198.26 : x
  2. Step 2: Convert to fraction form
    209,443.84/311,796.75 = 208,198.26/x
  3. Step 3: Cross multiply
    209,443.84x = 311,796.75 × 208,198.26
  4. Step 4: Simplify right side
    209,443.84x = 64,915,540,823.66
  5. Step 5: Solve for x
    x = 64,915,540,823.66/209,443.84
  6. Step 6: Final answer
    x = 309,942.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.