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Finding the Fourth Proportional to 414,083.88, 621,124.97 and 129,796.29

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Solution

The fourth proportional to 414,083.88, 621,124.97 and 129,796.29 is: 194,694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,083.88 : 621,124.97 = 129,796.29 : x
  2. Step 2: Convert to fraction form
    414,083.88/621,124.97 = 129,796.29/x
  3. Step 3: Cross multiply
    414,083.88x = 621,124.97 × 129,796.29
  4. Step 4: Simplify right side
    414,083.88x = 80,619,716,083.38
  5. Step 5: Solve for x
    x = 80,619,716,083.38/414,083.88
  6. Step 6: Final answer
    x = 194,694.17

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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.