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Finding the Fourth Proportional to 339,662.82, 509,454 and 115,022.82

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Solution

The fourth proportional to 339,662.82, 509,454 and 115,022.82 is: 172,520.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,662.82 : 509,454 = 115,022.82 : x
  2. Step 2: Convert to fraction form
    339,662.82/509,454 = 115,022.82/x
  3. Step 3: Cross multiply
    339,662.82x = 509,454 × 115,022.82
  4. Step 4: Simplify right side
    339,662.82x = 58,598,835,740.28
  5. Step 5: Solve for x
    x = 58,598,835,740.28/339,662.82
  6. Step 6: Final answer
    x = 172,520.61

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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.