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Finding the Fourth Proportional to 280,037.82, 419,930.10 and 80,312.34

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Solution

The fourth proportional to 280,037.82, 419,930.10 and 80,312.34 is: 120,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,037.82 : 419,930.10 = 80,312.34 : x
  2. Step 2: Convert to fraction form
    280,037.82/419,930.10 = 80,312.34/x
  3. Step 3: Cross multiply
    280,037.82x = 419,930.10 × 80,312.34
  4. Step 4: Simplify right side
    280,037.82x = 33,725,568,967.43
  5. Step 5: Solve for x
    x = 33,725,568,967.43/280,037.82
  6. Step 6: Final answer
    x = 120,432.19

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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.