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Finding the Fourth Proportional to 491,909.24, 678,836.09 and 285,217.76

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Solution

The fourth proportional to 491,909.24, 678,836.09 and 285,217.76 is: 393,601.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,909.24 : 678,836.09 = 285,217.76 : x
  2. Step 2: Convert to fraction form
    491,909.24/678,836.09 = 285,217.76/x
  3. Step 3: Cross multiply
    491,909.24x = 678,836.09 × 285,217.76
  4. Step 4: Simplify right side
    491,909.24x = 193,616,108,996.96
  5. Step 5: Solve for x
    x = 193,616,108,996.96/491,909.24
  6. Step 6: Final answer
    x = 393,601.29

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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.