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Finding the Fourth Proportional to 413,175.96, 619,770.66 and 128,874

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Solution

The fourth proportional to 413,175.96, 619,770.66 and 128,874 is: 193,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,175.96 : 619,770.66 = 128,874 : x
  2. Step 2: Convert to fraction form
    413,175.96/619,770.66 = 128,874/x
  3. Step 3: Cross multiply
    413,175.96x = 619,770.66 × 128,874
  4. Step 4: Simplify right side
    413,175.96x = 79,872,324,036.84
  5. Step 5: Solve for x
    x = 79,872,324,036.84/413,175.96
  6. Step 6: Final answer
    x = 193,313.10

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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.