Home / 280,105.28-419,961.09-102,589.22

Finding the Fourth Proportional to 280,105.28, 419,961.09 and 102,589.22

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Solution

The fourth proportional to 280,105.28, 419,961.09 and 102,589.22 is: 153,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,105.28 : 419,961.09 = 102,589.22 : x
  2. Step 2: Convert to fraction form
    280,105.28/419,961.09 = 102,589.22/x
  3. Step 3: Cross multiply
    280,105.28x = 419,961.09 × 102,589.22
  4. Step 4: Simplify right side
    280,105.28x = 43,083,480,653.45
  5. Step 5: Solve for x
    x = 43,083,480,653.45/280,105.28
  6. Step 6: Final answer
    x = 153,811.74

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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.