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Finding the Fourth Proportional to 339,493, 509,351.82 and 181,686.28

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Solution

The fourth proportional to 339,493, 509,351.82 and 181,686.28 is: 272,589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,493 : 509,351.82 = 181,686.28 : x
  2. Step 2: Convert to fraction form
    339,493/509,351.82 = 181,686.28/x
  3. Step 3: Cross multiply
    339,493x = 509,351.82 × 181,686.28
  4. Step 4: Simplify right side
    339,493x = 92,542,237,387.03
  5. Step 5: Solve for x
    x = 92,542,237,387.03/339,493
  6. Step 6: Final answer
    x = 272,589.53

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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.