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Finding the Fourth Proportional to 319,876.44, 479,815.23 and 83,218.74

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Solution

The fourth proportional to 319,876.44, 479,815.23 and 83,218.74 is: 124,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,876.44 : 479,815.23 = 83,218.74 : x
  2. Step 2: Convert to fraction form
    319,876.44/479,815.23 = 83,218.74/x
  3. Step 3: Cross multiply
    319,876.44x = 479,815.23 × 83,218.74
  4. Step 4: Simplify right side
    319,876.44x = 39,929,618,873.41
  5. Step 5: Solve for x
    x = 39,929,618,873.41/319,876.44
  6. Step 6: Final answer
    x = 124,828.26

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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.