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Finding the Fourth Proportional to 491,442.52, 678,212.49 and 276,596.50

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Solution

The fourth proportional to 491,442.52, 678,212.49 and 276,596.50 is: 381,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,442.52 : 678,212.49 = 276,596.50 : x
  2. Step 2: Convert to fraction form
    491,442.52/678,212.49 = 276,596.50/x
  3. Step 3: Cross multiply
    491,442.52x = 678,212.49 × 276,596.50
  4. Step 4: Simplify right side
    491,442.52x = 187,591,200,990.29
  5. Step 5: Solve for x
    x = 187,591,200,990.29/491,442.52
  6. Step 6: Final answer
    x = 381,715.45

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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.