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Finding the Fourth Proportional to 491,967.54, 678,918.96 and 277,087.50

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Solution

The fourth proportional to 491,967.54, 678,918.96 and 277,087.50 is: 382,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,967.54 : 678,918.96 = 277,087.50 : x
  2. Step 2: Convert to fraction form
    491,967.54/678,918.96 = 277,087.50/x
  3. Step 3: Cross multiply
    491,967.54x = 678,918.96 × 277,087.50
  4. Step 4: Simplify right side
    491,967.54x = 188,119,957,329
  5. Step 5: Solve for x
    x = 188,119,957,329/491,967.54
  6. Step 6: Final answer
    x = 382,382.86

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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.