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Finding the Fourth Proportional to 511,135.26, 765,720.24 and 285,812.29

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Solution

The fourth proportional to 511,135.26, 765,720.24 and 285,812.29 is: 428,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,135.26 : 765,720.24 = 285,812.29 : x
  2. Step 2: Convert to fraction form
    511,135.26/765,720.24 = 285,812.29/x
  3. Step 3: Cross multiply
    511,135.26x = 765,720.24 × 285,812.29
  4. Step 4: Simplify right side
    511,135.26x = 218,852,255,293.75
  5. Step 5: Solve for x
    x = 218,852,255,293.75/511,135.26
  6. Step 6: Final answer
    x = 428,168.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.