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Finding the Fourth Proportional to 491,861.54, 678,771.24 and 277,005.26

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Solution

The fourth proportional to 491,861.54, 678,771.24 and 277,005.26 is: 382,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,861.54 : 678,771.24 = 277,005.26 : x
  2. Step 2: Convert to fraction form
    491,861.54/678,771.24 = 277,005.26/x
  3. Step 3: Cross multiply
    491,861.54x = 678,771.24 × 277,005.26
  4. Step 4: Simplify right side
    491,861.54x = 188,023,203,816.72
  5. Step 5: Solve for x
    x = 188,023,203,816.72/491,861.54
  6. Step 6: Final answer
    x = 382,268.56

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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.