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Finding the Fourth Proportional to 414,889.72, 622,016.76 and 130,415.69

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Solution

The fourth proportional to 414,889.72, 622,016.76 and 130,415.69 is: 195,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,889.72 : 622,016.76 = 130,415.69 : x
  2. Step 2: Convert to fraction form
    414,889.72/622,016.76 = 130,415.69/x
  3. Step 3: Cross multiply
    414,889.72x = 622,016.76 × 130,415.69
  4. Step 4: Simplify right side
    414,889.72x = 81,120,746,991.07
  5. Step 5: Solve for x
    x = 81,120,746,991.07/414,889.72
  6. Step 6: Final answer
    x = 195,523.64

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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.