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Finding the Fourth Proportional to 339,411.75, 509,183.13 and 129,033.29

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Solution

The fourth proportional to 339,411.75, 509,183.13 and 129,033.29 is: 193,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,411.75 : 509,183.13 = 129,033.29 : x
  2. Step 2: Convert to fraction form
    339,411.75/509,183.13 = 129,033.29/x
  3. Step 3: Cross multiply
    339,411.75x = 509,183.13 × 129,033.29
  4. Step 4: Simplify right side
    339,411.75x = 65,701,571,930.48
  5. Step 5: Solve for x
    x = 65,701,571,930.48/339,411.75
  6. Step 6: Final answer
    x = 193,574.83

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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.