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Finding the Fourth Proportional to 279,764.40, 419,821.56 and 113,552.40

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Solution

The fourth proportional to 279,764.40, 419,821.56 and 113,552.40 is: 170,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,764.40 : 419,821.56 = 113,552.40 : x
  2. Step 2: Convert to fraction form
    279,764.40/419,821.56 = 113,552.40/x
  3. Step 3: Cross multiply
    279,764.40x = 419,821.56 × 113,552.40
  4. Step 4: Simplify right side
    279,764.40x = 47,671,745,709.74
  5. Step 5: Solve for x
    x = 47,671,745,709.74/279,764.40
  6. Step 6: Final answer
    x = 170,399.61

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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.