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Finding the Fourth Proportional to 491,993.61, 678,861 and 277,087.65

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Solution

The fourth proportional to 491,993.61, 678,861 and 277,087.65 is: 382,330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,993.61 : 678,861 = 277,087.65 : x
  2. Step 2: Convert to fraction form
    491,993.61/678,861 = 277,087.65/x
  3. Step 3: Cross multiply
    491,993.61x = 678,861 × 277,087.65
  4. Step 4: Simplify right side
    491,993.61x = 188,103,999,166.65
  5. Step 5: Solve for x
    x = 188,103,999,166.65/491,993.61
  6. Step 6: Final answer
    x = 382,330.17

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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.