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Finding the Fourth Proportional to 491,657.25, 678,581.24 and 276,797.34

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Solution

The fourth proportional to 491,657.25, 678,581.24 and 276,797.34 is: 382,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,657.25 : 678,581.24 = 276,797.34 : x
  2. Step 2: Convert to fraction form
    491,657.25/678,581.24 = 276,797.34/x
  3. Step 3: Cross multiply
    491,657.25x = 678,581.24 × 276,797.34
  4. Step 4: Simplify right side
    491,657.25x = 187,829,480,821.92
  5. Step 5: Solve for x
    x = 187,829,480,821.92/491,657.25
  6. Step 6: Final answer
    x = 382,033.38

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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.