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Finding the Fourth Proportional to 319,879.44, 479,819.73 and 83,221.74

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Solution

The fourth proportional to 319,879.44, 479,819.73 and 83,221.74 is: 124,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,879.44 : 479,819.73 = 83,221.74 : x
  2. Step 2: Convert to fraction form
    319,879.44/479,819.73 = 83,221.74/x
  3. Step 3: Cross multiply
    319,879.44x = 479,819.73 × 83,221.74
  4. Step 4: Simplify right side
    319,879.44x = 39,931,432,816.93
  5. Step 5: Solve for x
    x = 39,931,432,816.93/319,879.44
  6. Step 6: Final answer
    x = 124,832.76

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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.