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Finding the Fourth Proportional to 491,806.59, 678,727.68 and 274,029.38

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Solution

The fourth proportional to 491,806.59, 678,727.68 and 274,029.38 is: 378,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,806.59 : 678,727.68 = 274,029.38 : x
  2. Step 2: Convert to fraction form
    491,806.59/678,727.68 = 274,029.38/x
  3. Step 3: Cross multiply
    491,806.59x = 678,727.68 × 274,029.38
  4. Step 4: Simplify right side
    491,806.59x = 185,991,323,969.09
  5. Step 5: Solve for x
    x = 185,991,323,969.09/491,806.59
  6. Step 6: Final answer
    x = 378,179.82

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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.