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Finding the Fourth Proportional to 451,309.32, 676,978.56 and 135,768.96

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Solution

The fourth proportional to 451,309.32, 676,978.56 and 135,768.96 is: 203,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,309.32 : 676,978.56 = 135,768.96 : x
  2. Step 2: Convert to fraction form
    451,309.32/676,978.56 = 135,768.96/x
  3. Step 3: Cross multiply
    451,309.32x = 676,978.56 × 135,768.96
  4. Step 4: Simplify right side
    451,309.32x = 91,912,675,033.50
  5. Step 5: Solve for x
    x = 91,912,675,033.50/451,309.32
  6. Step 6: Final answer
    x = 203,657.83

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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.