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Finding the Fourth Proportional to 491,596.29, 678,467.54 and 276,778.22

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Solution

The fourth proportional to 491,596.29, 678,467.54 and 276,778.22 is: 381,990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,596.29 : 678,467.54 = 276,778.22 : x
  2. Step 2: Convert to fraction form
    491,596.29/678,467.54 = 276,778.22/x
  3. Step 3: Cross multiply
    491,596.29x = 678,467.54 × 276,778.22
  4. Step 4: Simplify right side
    491,596.29x = 187,785,035,348.59
  5. Step 5: Solve for x
    x = 187,785,035,348.59/491,596.29
  6. Step 6: Final answer
    x = 381,990.34

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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.