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Finding the Fourth Proportional to 491,007.26, 677,488.40 and 287,018.73

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Solution

The fourth proportional to 491,007.26, 677,488.40 and 287,018.73 is: 396,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,007.26 : 677,488.40 = 287,018.73 : x
  2. Step 2: Convert to fraction form
    491,007.26/677,488.40 = 287,018.73/x
  3. Step 3: Cross multiply
    491,007.26x = 677,488.40 × 287,018.73
  4. Step 4: Simplify right side
    491,007.26x = 194,451,856,770.29
  5. Step 5: Solve for x
    x = 194,451,856,770.29/491,007.26
  6. Step 6: Final answer
    x = 396,026.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.