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Finding the Fourth Proportional to 339,481.69, 509,333.10 and 161,965.72

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Solution

The fourth proportional to 339,481.69, 509,333.10 and 161,965.72 is: 243,001.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,481.69 : 509,333.10 = 161,965.72 : x
  2. Step 2: Convert to fraction form
    339,481.69/509,333.10 = 161,965.72/x
  3. Step 3: Cross multiply
    339,481.69x = 509,333.10 × 161,965.72
  4. Step 4: Simplify right side
    339,481.69x = 82,494,502,261.33
  5. Step 5: Solve for x
    x = 82,494,502,261.33/339,481.69
  6. Step 6: Final answer
    x = 243,001.33

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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.