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Finding the Fourth Proportional to 491,455.31, 678,135.17 and 276,582.56

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Solution

The fourth proportional to 491,455.31, 678,135.17 and 276,582.56 is: 381,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,455.31 : 678,135.17 = 276,582.56 : x
  2. Step 2: Convert to fraction form
    491,455.31/678,135.17 = 276,582.56/x
  3. Step 3: Cross multiply
    491,455.31x = 678,135.17 × 276,582.56
  4. Step 4: Simplify right side
    491,455.31x = 187,560,361,344.64
  5. Step 5: Solve for x
    x = 187,560,361,344.64/491,455.31
  6. Step 6: Final answer
    x = 381,642.76

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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.