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Finding the Fourth Proportional to 494,646.55, 682,627.70 and 279,782.30

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Solution

The fourth proportional to 494,646.55, 682,627.70 and 279,782.30 is: 386,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,646.55 : 682,627.70 = 279,782.30 : x
  2. Step 2: Convert to fraction form
    494,646.55/682,627.70 = 279,782.30/x
  3. Step 3: Cross multiply
    494,646.55x = 682,627.70 × 279,782.30
  4. Step 4: Simplify right side
    494,646.55x = 190,987,150,355.74
  5. Step 5: Solve for x
    x = 190,987,150,355.74/494,646.55
  6. Step 6: Final answer
    x = 386,108.33

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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.