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Finding the Fourth Proportional to 339,458.70, 509,261.49 and 129,100.62

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Solution

The fourth proportional to 339,458.70, 509,261.49 and 129,100.62 is: 193,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,458.70 : 509,261.49 = 129,100.62 : x
  2. Step 2: Convert to fraction form
    339,458.70/509,261.49 = 129,100.62/x
  3. Step 3: Cross multiply
    339,458.70x = 509,261.49 × 129,100.62
  4. Step 4: Simplify right side
    339,458.70x = 65,745,974,101.12
  5. Step 5: Solve for x
    x = 65,745,974,101.12/339,458.70
  6. Step 6: Final answer
    x = 193,678.86

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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.