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Finding the Fourth Proportional to 339,642.20, 509,366.10 and 102,927.80

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Solution

The fourth proportional to 339,642.20, 509,366.10 and 102,927.80 is: 154,362.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,642.20 : 509,366.10 = 102,927.80 : x
  2. Step 2: Convert to fraction form
    339,642.20/509,366.10 = 102,927.80/x
  3. Step 3: Cross multiply
    339,642.20x = 509,366.10 × 102,927.80
  4. Step 4: Simplify right side
    339,642.20x = 52,427,932,067.58
  5. Step 5: Solve for x
    x = 52,427,932,067.58/339,642.20
  6. Step 6: Final answer
    x = 154,362.24

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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.