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Finding the Fourth Proportional to 452,974.68, 678,963.80 and 186,589.91

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Solution

The fourth proportional to 452,974.68, 678,963.80 and 186,589.91 is: 279,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,974.68 : 678,963.80 = 186,589.91 : x
  2. Step 2: Convert to fraction form
    452,974.68/678,963.80 = 186,589.91/x
  3. Step 3: Cross multiply
    452,974.68x = 678,963.80 × 186,589.91
  4. Step 4: Simplify right side
    452,974.68x = 126,687,796,499.14
  5. Step 5: Solve for x
    x = 126,687,796,499.14/452,974.68
  6. Step 6: Final answer
    x = 279,679.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.