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Finding the Fourth Proportional to 414,138.72, 621,115.74 and 161,426.02

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Solution

The fourth proportional to 414,138.72, 621,115.74 and 161,426.02 is: 242,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,138.72 : 621,115.74 = 161,426.02 : x
  2. Step 2: Convert to fraction form
    414,138.72/621,115.74 = 161,426.02/x
  3. Step 3: Cross multiply
    414,138.72x = 621,115.74 × 161,426.02
  4. Step 4: Simplify right side
    414,138.72x = 100,264,241,867.56
  5. Step 5: Solve for x
    x = 100,264,241,867.56/414,138.72
  6. Step 6: Final answer
    x = 242,103.04

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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.