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Finding the Fourth Proportional to 491,429.97, 678,195.18 and 276,583.95

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Solution

The fourth proportional to 491,429.97, 678,195.18 and 276,583.95 is: 381,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,429.97 : 678,195.18 = 276,583.95 : x
  2. Step 2: Convert to fraction form
    491,429.97/678,195.18 = 276,583.95/x
  3. Step 3: Cross multiply
    491,429.97x = 678,195.18 × 276,583.95
  4. Step 4: Simplify right side
    491,429.97x = 187,577,901,755.36
  5. Step 5: Solve for x
    x = 187,577,901,755.36/491,429.97
  6. Step 6: Final answer
    x = 381,698.13

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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.