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Finding the Fourth Proportional to 511,147.26, 705,388.01 and 281,712.96

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Solution

The fourth proportional to 511,147.26, 705,388.01 and 281,712.96 is: 388,766.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,147.26 : 705,388.01 = 281,712.96 : x
  2. Step 2: Convert to fraction form
    511,147.26/705,388.01 = 281,712.96/x
  3. Step 3: Cross multiply
    511,147.26x = 705,388.01 × 281,712.96
  4. Step 4: Simplify right side
    511,147.26x = 198,716,942,837.05
  5. Step 5: Solve for x
    x = 198,716,942,837.05/511,147.26
  6. Step 6: Final answer
    x = 388,766.52

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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.