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Finding the Fourth Proportional to 511,167.88, 705,382.86 and 281,724.44

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Solution

The fourth proportional to 511,167.88, 705,382.86 and 281,724.44 is: 388,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,167.88 : 705,382.86 = 281,724.44 : x
  2. Step 2: Convert to fraction form
    511,167.88/705,382.86 = 281,724.44/x
  3. Step 3: Cross multiply
    511,167.88x = 705,382.86 × 281,724.44
  4. Step 4: Simplify right side
    511,167.88x = 198,723,591,219.10
  5. Step 5: Solve for x
    x = 198,723,591,219.10/511,167.88
  6. Step 6: Final answer
    x = 388,763.85

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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.