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Finding the Fourth Proportional to 279,762.78, 419,819.12 and 113,550.78

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Solution

The fourth proportional to 279,762.78, 419,819.12 and 113,550.78 is: 170,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,762.78 : 419,819.12 = 113,550.78 : x
  2. Step 2: Convert to fraction form
    279,762.78/419,819.12 = 113,550.78/x
  3. Step 3: Cross multiply
    279,762.78x = 419,819.12 × 113,550.78
  4. Step 4: Simplify right side
    279,762.78x = 47,670,786,719.69
  5. Step 5: Solve for x
    x = 47,670,786,719.69/279,762.78
  6. Step 6: Final answer
    x = 170,397.18

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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.