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Finding the Fourth Proportional to 339,770.73, 509,339.09 and 114,974.77

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Solution

The fourth proportional to 339,770.73, 509,339.09 and 114,974.77 is: 172,354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,770.73 : 509,339.09 = 114,974.77 : x
  2. Step 2: Convert to fraction form
    339,770.73/509,339.09 = 114,974.77/x
  3. Step 3: Cross multiply
    339,770.73x = 509,339.09 × 114,974.77
  4. Step 4: Simplify right side
    339,770.73x = 58,561,142,614.61
  5. Step 5: Solve for x
    x = 58,561,142,614.61/339,770.73
  6. Step 6: Final answer
    x = 172,354.88

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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.