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Finding the Fourth Proportional to 511,076.79, 765,767.70 and 310,791.33

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Solution

The fourth proportional to 511,076.79, 765,767.70 and 310,791.33 is: 465,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,076.79 : 765,767.70 = 310,791.33 : x
  2. Step 2: Convert to fraction form
    511,076.79/765,767.70 = 310,791.33/x
  3. Step 3: Cross multiply
    511,076.79x = 765,767.70 × 310,791.33
  4. Step 4: Simplify right side
    511,076.79x = 237,993,960,400.08
  5. Step 5: Solve for x
    x = 237,993,960,400.08/511,076.79
  6. Step 6: Final answer
    x = 465,671.63

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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.