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Finding the Fourth Proportional to 511,164.69, 705,378.49 and 281,721.27

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Solution

The fourth proportional to 511,164.69, 705,378.49 and 281,721.27 is: 388,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,164.69 : 705,378.49 = 281,721.27 : x
  2. Step 2: Convert to fraction form
    511,164.69/705,378.49 = 281,721.27/x
  3. Step 3: Cross multiply
    511,164.69x = 705,378.49 × 281,721.27
  4. Step 4: Simplify right side
    511,164.69x = 198,720,122,426.20
  5. Step 5: Solve for x
    x = 198,720,122,426.20/511,164.69
  6. Step 6: Final answer
    x = 388,759.49

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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.