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Finding the Fourth Proportional to 511,077.29, 765,768.45 and 310,791.83

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Solution

The fourth proportional to 511,077.29, 765,768.45 and 310,791.83 is: 465,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,077.29 : 765,768.45 = 310,791.83 : x
  2. Step 2: Convert to fraction form
    511,077.29/765,768.45 = 310,791.83/x
  3. Step 3: Cross multiply
    511,077.29x = 765,768.45 × 310,791.83
  4. Step 4: Simplify right side
    511,077.29x = 237,994,576,377.80
  5. Step 5: Solve for x
    x = 237,994,576,377.80/511,077.29
  6. Step 6: Final answer
    x = 465,672.38

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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.