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Finding the Fourth Proportional to 491,012.82, 677,542.50 and 276,148.26

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Solution

The fourth proportional to 491,012.82, 677,542.50 and 276,148.26 is: 381,053.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,012.82 : 677,542.50 = 276,148.26 : x
  2. Step 2: Convert to fraction form
    491,012.82/677,542.50 = 276,148.26/x
  3. Step 3: Cross multiply
    491,012.82x = 677,542.50 × 276,148.26
  4. Step 4: Simplify right side
    491,012.82x = 187,102,182,451.05
  5. Step 5: Solve for x
    x = 187,102,182,451.05/491,012.82
  6. Step 6: Final answer
    x = 381,053.56

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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.