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Finding the Fourth Proportional to 491,991.62, 678,858.24 and 277,085.66

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Solution

The fourth proportional to 491,991.62, 678,858.24 and 277,085.66 is: 382,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,991.62 : 678,858.24 = 277,085.66 : x
  2. Step 2: Convert to fraction form
    491,991.62/678,858.24 = 277,085.66/x
  3. Step 3: Cross multiply
    491,991.62x = 678,858.24 × 277,085.66
  4. Step 4: Simplify right side
    491,991.62x = 188,101,883,476.84
  5. Step 5: Solve for x
    x = 188,101,883,476.84/491,991.62
  6. Step 6: Final answer
    x = 382,327.41

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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.