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Finding the Fourth Proportional to 451,317.82, 676,991.31 and 135,777.46

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Solution

The fourth proportional to 451,317.82, 676,991.31 and 135,777.46 is: 203,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,317.82 : 676,991.31 = 135,777.46 : x
  2. Step 2: Convert to fraction form
    451,317.82/676,991.31 = 135,777.46/x
  3. Step 3: Cross multiply
    451,317.82x = 676,991.31 × 135,777.46
  4. Step 4: Simplify right side
    451,317.82x = 91,920,160,513.87
  5. Step 5: Solve for x
    x = 91,920,160,513.87/451,317.82
  6. Step 6: Final answer
    x = 203,670.58

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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.