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Finding the Fourth Proportional to 269,116.20, 403,328.70 and 206,476.20

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Solution

The fourth proportional to 269,116.20, 403,328.70 and 206,476.20 is: 309,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,116.20 : 403,328.70 = 206,476.20 : x
  2. Step 2: Convert to fraction form
    269,116.20/403,328.70 = 206,476.20/x
  3. Step 3: Cross multiply
    269,116.20x = 403,328.70 × 206,476.20
  4. Step 4: Simplify right side
    269,116.20x = 83,277,777,326.94
  5. Step 5: Solve for x
    x = 83,277,777,326.94/269,116.20
  6. Step 6: Final answer
    x = 309,449.14

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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.