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Finding the Fourth Proportional to 494,743.50, 682,746.24 and 279,879

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Solution

The fourth proportional to 494,743.50, 682,746.24 and 279,879 is: 386,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,743.50 : 682,746.24 = 279,879 : x
  2. Step 2: Convert to fraction form
    494,743.50/682,746.24 = 279,879/x
  3. Step 3: Cross multiply
    494,743.50x = 682,746.24 × 279,879
  4. Step 4: Simplify right side
    494,743.50x = 191,086,334,904.96
  5. Step 5: Solve for x
    x = 191,086,334,904.96/494,743.50
  6. Step 6: Final answer
    x = 386,233.14

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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.