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Finding the Fourth Proportional to 511,128.25, 765,709.74 and 285,805.28

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Solution

The fourth proportional to 511,128.25, 765,709.74 and 285,805.28 is: 428,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,128.25 : 765,709.74 = 285,805.28 : x
  2. Step 2: Convert to fraction form
    511,128.25/765,709.74 = 285,805.28/x
  3. Step 3: Cross multiply
    511,128.25x = 765,709.74 × 285,805.28
  4. Step 4: Simplify right side
    511,128.25x = 218,843,888,553.70
  5. Step 5: Solve for x
    x = 218,843,888,553.70/511,128.25
  6. Step 6: Final answer
    x = 428,158.47

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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.