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Finding the Fourth Proportional to 491,989.62, 678,855.48 and 277,083.66

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Solution

The fourth proportional to 491,989.62, 678,855.48 and 277,083.66 is: 382,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,989.62 : 678,855.48 = 277,083.66 : x
  2. Step 2: Convert to fraction form
    491,989.62/678,855.48 = 277,083.66/x
  3. Step 3: Cross multiply
    491,989.62x = 678,855.48 × 277,083.66
  4. Step 4: Simplify right side
    491,989.62x = 188,099,761,009.46
  5. Step 5: Solve for x
    x = 188,099,761,009.46/491,989.62
  6. Step 6: Final answer
    x = 382,324.65

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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.