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Finding the Fourth Proportional to 491,708.88, 678,502.17 and 276,843.42

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Solution

The fourth proportional to 491,708.88, 678,502.17 and 276,843.42 is: 382,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,708.88 : 678,502.17 = 276,843.42 : x
  2. Step 2: Convert to fraction form
    491,708.88/678,502.17 = 276,843.42/x
  3. Step 3: Cross multiply
    491,708.88x = 678,502.17 × 276,843.42
  4. Step 4: Simplify right side
    491,708.88x = 187,838,861,220.22
  5. Step 5: Solve for x
    x = 187,838,861,220.22/491,708.88
  6. Step 6: Final answer
    x = 382,012.34

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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.