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Finding the Fourth Proportional to 352,084.87, 485,864 and 208,759.15

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Solution

The fourth proportional to 352,084.87, 485,864 and 208,759.15 is: 288,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,084.87 : 485,864 = 208,759.15 : x
  2. Step 2: Convert to fraction form
    352,084.87/485,864 = 208,759.15/x
  3. Step 3: Cross multiply
    352,084.87x = 485,864 × 208,759.15
  4. Step 4: Simplify right side
    352,084.87x = 101,428,553,226.28
  5. Step 5: Solve for x
    x = 101,428,553,226.28/352,084.87
  6. Step 6: Final answer
    x = 288,079.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.