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Finding the Fourth Proportional to 339,450, 509,175 and 117,834

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Solution

The fourth proportional to 339,450, 509,175 and 117,834 is: 176,751

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,450 : 509,175 = 117,834 : x
  2. Step 2: Convert to fraction form
    339,450/509,175 = 117,834/x
  3. Step 3: Cross multiply
    339,450x = 509,175 × 117,834
  4. Step 4: Simplify right side
    339,450x = 59,998,126,950
  5. Step 5: Solve for x
    x = 59,998,126,950/339,450
  6. Step 6: Final answer
    x = 176,751

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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.