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Finding the Fourth Proportional to 414,681.73, 621,988.37 and 115,169.34

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Solution

The fourth proportional to 414,681.73, 621,988.37 and 115,169.34 is: 172,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,681.73 : 621,988.37 = 115,169.34 : x
  2. Step 2: Convert to fraction form
    414,681.73/621,988.37 = 115,169.34/x
  3. Step 3: Cross multiply
    414,681.73x = 621,988.37 × 115,169.34
  4. Step 4: Simplify right side
    414,681.73x = 71,633,992,249.07
  5. Step 5: Solve for x
    x = 71,633,992,249.07/414,681.73
  6. Step 6: Final answer
    x = 172,744.51

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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.