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Finding the Fourth Proportional to 491,591.92, 678,344.08 and 276,728.08

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Solution

The fourth proportional to 491,591.92, 678,344.08 and 276,728.08 is: 381,855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,591.92 : 678,344.08 = 276,728.08 : x
  2. Step 2: Convert to fraction form
    491,591.92/678,344.08 = 276,728.08/x
  3. Step 3: Cross multiply
    491,591.92x = 678,344.08 × 276,728.08
  4. Step 4: Simplify right side
    491,591.92x = 187,716,854,837.77
  5. Step 5: Solve for x
    x = 187,716,854,837.77/491,591.92
  6. Step 6: Final answer
    x = 381,855.05

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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.