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Finding the Fourth Proportional to 339,667.84, 509,589.24 and 129,190.96

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Solution

The fourth proportional to 339,667.84, 509,589.24 and 129,190.96 is: 193,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,667.84 : 509,589.24 = 129,190.96 : x
  2. Step 2: Convert to fraction form
    339,667.84/509,589.24 = 129,190.96/x
  3. Step 3: Cross multiply
    339,667.84x = 509,589.24 × 129,190.96
  4. Step 4: Simplify right side
    339,667.84x = 65,834,319,927.37
  5. Step 5: Solve for x
    x = 65,834,319,927.37/339,667.84
  6. Step 6: Final answer
    x = 193,819.71

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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.