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Finding the Fourth Proportional to 280,584.24, 420,708.48 and 130,858.56

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Solution

The fourth proportional to 280,584.24, 420,708.48 and 130,858.56 is: 196,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,584.24 : 420,708.48 = 130,858.56 : x
  2. Step 2: Convert to fraction form
    280,584.24/420,708.48 = 130,858.56/x
  3. Step 3: Cross multiply
    280,584.24x = 420,708.48 × 130,858.56
  4. Step 4: Simplify right side
    280,584.24x = 55,053,305,872.59
  5. Step 5: Solve for x
    x = 55,053,305,872.59/280,584.24
  6. Step 6: Final answer
    x = 196,209.54

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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.