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Finding the Fourth Proportional to 279,860.35, 419,879.31 and 99,941.86

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Solution

The fourth proportional to 279,860.35, 419,879.31 and 99,941.86 is: 149,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,860.35 : 419,879.31 = 99,941.86 : x
  2. Step 2: Convert to fraction form
    279,860.35/419,879.31 = 99,941.86/x
  3. Step 3: Cross multiply
    279,860.35x = 419,879.31 × 99,941.86
  4. Step 4: Simplify right side
    279,860.35x = 41,963,519,216.92
  5. Step 5: Solve for x
    x = 41,963,519,216.92/279,860.35
  6. Step 6: Final answer
    x = 149,944.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.