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Finding the Fourth Proportional to 494,404.86, 682,292.14 and 279,577.07

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Solution

The fourth proportional to 494,404.86, 682,292.14 and 279,577.07 is: 385,823.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,404.86 : 682,292.14 = 279,577.07 : x
  2. Step 2: Convert to fraction form
    494,404.86/682,292.14 = 279,577.07/x
  3. Step 3: Cross multiply
    494,404.86x = 682,292.14 × 279,577.07
  4. Step 4: Simplify right side
    494,404.86x = 190,753,233,973.77
  5. Step 5: Solve for x
    x = 190,753,233,973.77/494,404.86
  6. Step 6: Final answer
    x = 385,823.95

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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.