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Finding the Fourth Proportional to 414,169.39, 621,261.86 and 129,853.64

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Solution

The fourth proportional to 414,169.39, 621,261.86 and 129,853.64 is: 194,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,169.39 : 621,261.86 = 129,853.64 : x
  2. Step 2: Convert to fraction form
    414,169.39/621,261.86 = 129,853.64/x
  3. Step 3: Cross multiply
    414,169.39x = 621,261.86 × 129,853.64
  4. Step 4: Simplify right side
    414,169.39x = 80,673,113,914.17
  5. Step 5: Solve for x
    x = 80,673,113,914.17/414,169.39
  6. Step 6: Final answer
    x = 194,782.90

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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.