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Finding the Fourth Proportional to 414,405.80, 621,452.46 and 133,847.72

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Solution

The fourth proportional to 414,405.80, 621,452.46 and 133,847.72 is: 200,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,405.80 : 621,452.46 = 133,847.72 : x
  2. Step 2: Convert to fraction form
    414,405.80/621,452.46 = 133,847.72/x
  3. Step 3: Cross multiply
    414,405.80x = 621,452.46 × 133,847.72
  4. Step 4: Simplify right side
    414,405.80x = 83,179,994,859.39
  5. Step 5: Solve for x
    x = 83,179,994,859.39/414,405.80
  6. Step 6: Final answer
    x = 200,721.12

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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.