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Finding the Fourth Proportional to 280,074.52, 419,736.52 and 262,138.36

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Solution

The fourth proportional to 280,074.52, 419,736.52 and 262,138.36 is: 392,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,074.52 : 419,736.52 = 262,138.36 : x
  2. Step 2: Convert to fraction form
    280,074.52/419,736.52 = 262,138.36/x
  3. Step 3: Cross multiply
    280,074.52x = 419,736.52 × 262,138.36
  4. Step 4: Simplify right side
    280,074.52x = 110,029,042,984.91
  5. Step 5: Solve for x
    x = 110,029,042,984.91/280,074.52
  6. Step 6: Final answer
    x = 392,856.31

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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.