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Finding the Fourth Proportional to 407,519.96, 611,370.59 and 133,978.51

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Solution

The fourth proportional to 407,519.96, 611,370.59 and 133,978.51 is: 200,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,519.96 : 611,370.59 = 133,978.51 : x
  2. Step 2: Convert to fraction form
    407,519.96/611,370.59 = 133,978.51/x
  3. Step 3: Cross multiply
    407,519.96x = 611,370.59 × 133,978.51
  4. Step 4: Simplify right side
    407,519.96x = 81,910,517,361.38
  5. Step 5: Solve for x
    x = 81,910,517,361.38/407,519.96
  6. Step 6: Final answer
    x = 200,997.56

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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.