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Finding the Fourth Proportional to 319,414.86, 479,085.03 and 82,739.34

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Solution

The fourth proportional to 319,414.86, 479,085.03 and 82,739.34 is: 124,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,414.86 : 479,085.03 = 82,739.34 : x
  2. Step 2: Convert to fraction form
    319,414.86/479,085.03 = 82,739.34/x
  3. Step 3: Cross multiply
    319,414.86x = 479,085.03 × 82,739.34
  4. Step 4: Simplify right side
    319,414.86x = 39,639,179,186.08
  5. Step 5: Solve for x
    x = 39,639,179,186.08/319,414.86
  6. Step 6: Final answer
    x = 124,099.36

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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.