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Finding the Fourth Proportional to 280,299.30, 419,464.80 and 191,725.80

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Solution

The fourth proportional to 280,299.30, 419,464.80 and 191,725.80 is: 286,915.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,299.30 : 419,464.80 = 191,725.80 : x
  2. Step 2: Convert to fraction form
    280,299.30/419,464.80 = 191,725.80/x
  3. Step 3: Cross multiply
    280,299.30x = 419,464.80 × 191,725.80
  4. Step 4: Simplify right side
    280,299.30x = 80,422,224,351.84
  5. Step 5: Solve for x
    x = 80,422,224,351.84/280,299.30
  6. Step 6: Final answer
    x = 286,915.54

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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.