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Finding the Fourth Proportional to 494,713.47, 682,704.81 and 279,848.96

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Solution

The fourth proportional to 494,713.47, 682,704.81 and 279,848.96 is: 386,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,713.47 : 682,704.81 = 279,848.96 : x
  2. Step 2: Convert to fraction form
    494,713.47/682,704.81 = 279,848.96/x
  3. Step 3: Cross multiply
    494,713.47x = 682,704.81 × 279,848.96
  4. Step 4: Simplify right side
    494,713.47x = 191,054,227,651.97
  5. Step 5: Solve for x
    x = 191,054,227,651.97/494,713.47
  6. Step 6: Final answer
    x = 386,191.68

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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.