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Finding the Fourth Proportional to 800,512.52, 1,200,768.54 and 301,759.88

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Solution

The fourth proportional to 800,512.52, 1,200,768.54 and 301,759.88 is: 452,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,512.52 : 1,200,768.54 = 301,759.88 : x
  2. Step 2: Convert to fraction form
    800,512.52/1,200,768.54 = 301,759.88/x
  3. Step 3: Cross multiply
    800,512.52x = 1,200,768.54 × 301,759.88
  4. Step 4: Simplify right side
    800,512.52x = 362,343,770,538.18
  5. Step 5: Solve for x
    x = 362,343,770,538.18/800,512.52
  6. Step 6: Final answer
    x = 452,639.73

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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.