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Finding the Fourth Proportional to 451,397.76, 677,110.56 and 135,856.96

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Solution

The fourth proportional to 451,397.76, 677,110.56 and 135,856.96 is: 203,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,397.76 : 677,110.56 = 135,856.96 : x
  2. Step 2: Convert to fraction form
    451,397.76/677,110.56 = 135,856.96/x
  3. Step 3: Cross multiply
    451,397.76x = 677,110.56 × 135,856.96
  4. Step 4: Simplify right side
    451,397.76x = 91,990,182,265.50
  5. Step 5: Solve for x
    x = 91,990,182,265.50/451,397.76
  6. Step 6: Final answer
    x = 203,789.63

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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.