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Finding the Fourth Proportional to 491,990.61, 678,856.86 and 277,084.65

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Solution

The fourth proportional to 491,990.61, 678,856.86 and 277,084.65 is: 382,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,990.61 : 678,856.86 = 277,084.65 : x
  2. Step 2: Convert to fraction form
    491,990.61/678,856.86 = 277,084.65/x
  3. Step 3: Cross multiply
    491,990.61x = 678,856.86 × 277,084.65
  4. Step 4: Simplify right side
    491,990.61x = 188,100,815,453.20
  5. Step 5: Solve for x
    x = 188,100,815,453.20/491,990.61
  6. Step 6: Final answer
    x = 382,326.03

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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.