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Finding the Fourth Proportional to 491,604.84, 678,388.86 and 276,737.76

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Solution

The fourth proportional to 491,604.84, 678,388.86 and 276,737.76 is: 381,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,604.84 : 678,388.86 = 276,737.76 : x
  2. Step 2: Convert to fraction form
    491,604.84/678,388.86 = 276,737.76/x
  3. Step 3: Cross multiply
    491,604.84x = 678,388.86 × 276,737.76
  4. Step 4: Simplify right side
    491,604.84x = 187,735,813,525.35
  5. Step 5: Solve for x
    x = 187,735,813,525.35/491,604.84
  6. Step 6: Final answer
    x = 381,883.57

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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.