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Finding the Fourth Proportional to 491,882.31, 678,846.02 and 287,920.89

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Solution

The fourth proportional to 491,882.31, 678,846.02 and 287,920.89 is: 397,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,882.31 : 678,846.02 = 287,920.89 : x
  2. Step 2: Convert to fraction form
    491,882.31/678,846.02 = 287,920.89/x
  3. Step 3: Cross multiply
    491,882.31x = 678,846.02 × 287,920.89
  4. Step 4: Simplify right side
    491,882.31x = 195,453,948,811.75
  5. Step 5: Solve for x
    x = 195,453,948,811.75/491,882.31
  6. Step 6: Final answer
    x = 397,359.17

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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.