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Finding the Fourth Proportional to 494,392.68, 682,257.78 and 279,574.92

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Solution

The fourth proportional to 494,392.68, 682,257.78 and 279,574.92 is: 385,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,392.68 : 682,257.78 = 279,574.92 : x
  2. Step 2: Convert to fraction form
    494,392.68/682,257.78 = 279,574.92/x
  3. Step 3: Cross multiply
    494,392.68x = 682,257.78 × 279,574.92
  4. Step 4: Simplify right side
    494,392.68x = 190,742,164,262.88
  5. Step 5: Solve for x
    x = 190,742,164,262.88/494,392.68
  6. Step 6: Final answer
    x = 385,811.06

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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.