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Finding the Fourth Proportional to 300,868.56, 414,959.43 and 255,696.06

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Solution

The fourth proportional to 300,868.56, 414,959.43 and 255,696.06 is: 352,657.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,868.56 : 414,959.43 = 255,696.06 : x
  2. Step 2: Convert to fraction form
    300,868.56/414,959.43 = 255,696.06/x
  3. Step 3: Cross multiply
    300,868.56x = 414,959.43 × 255,696.06
  4. Step 4: Simplify right side
    300,868.56x = 106,103,491,310.85
  5. Step 5: Solve for x
    x = 106,103,491,310.85/300,868.56
  6. Step 6: Final answer
    x = 352,657.29

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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.