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Finding the Fourth Proportional to 206,084.59, 310,716.16 and 204,805.20

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Solution

The fourth proportional to 206,084.59, 310,716.16 and 204,805.20 is: 308,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,084.59 : 310,716.16 = 204,805.20 : x
  2. Step 2: Convert to fraction form
    206,084.59/310,716.16 = 204,805.20/x
  3. Step 3: Cross multiply
    206,084.59x = 310,716.16 × 204,805.20
  4. Step 4: Simplify right side
    206,084.59x = 63,636,285,292.03
  5. Step 5: Solve for x
    x = 63,636,285,292.03/206,084.59
  6. Step 6: Final answer
    x = 308,787.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.