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Finding the Fourth Proportional to 339,546.72, 509,541.20 and 129,186.48

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Solution

The fourth proportional to 339,546.72, 509,541.20 and 129,186.48 is: 193,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,546.72 : 509,541.20 = 129,186.48 : x
  2. Step 2: Convert to fraction form
    339,546.72/509,541.20 = 129,186.48/x
  3. Step 3: Cross multiply
    339,546.72x = 509,541.20 × 129,186.48
  4. Step 4: Simplify right side
    339,546.72x = 65,825,834,042.98
  5. Step 5: Solve for x
    x = 65,825,834,042.98/339,546.72
  6. Step 6: Final answer
    x = 193,863.85

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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.