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Finding the Fourth Proportional to 414,605.09, 621,952.07 and 115,086.93

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Solution

The fourth proportional to 414,605.09, 621,952.07 and 115,086.93 is: 172,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,605.09 : 621,952.07 = 115,086.93 : x
  2. Step 2: Convert to fraction form
    414,605.09/621,952.07 = 115,086.93/x
  3. Step 3: Cross multiply
    414,605.09x = 621,952.07 × 115,086.93
  4. Step 4: Simplify right side
    414,605.09x = 71,578,553,768.01
  5. Step 5: Solve for x
    x = 71,578,553,768.01/414,605.09
  6. Step 6: Final answer
    x = 172,642.73

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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.