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Finding the Fourth Proportional to 419,516.46, 628,853.34 and 134,997.92

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Solution

The fourth proportional to 419,516.46, 628,853.34 and 134,997.92 is: 202,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,516.46 : 628,853.34 = 134,997.92 : x
  2. Step 2: Convert to fraction form
    419,516.46/628,853.34 = 134,997.92/x
  3. Step 3: Cross multiply
    419,516.46x = 628,853.34 × 134,997.92
  4. Step 4: Simplify right side
    419,516.46x = 84,893,889,740.79
  5. Step 5: Solve for x
    x = 84,893,889,740.79/419,516.46
  6. Step 6: Final answer
    x = 202,361.28

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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.