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Finding the Fourth Proportional to 414,477.40, 621,716.10 and 225,520.60

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Solution

The fourth proportional to 414,477.40, 621,716.10 and 225,520.60 is: 338,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,477.40 : 621,716.10 = 225,520.60 : x
  2. Step 2: Convert to fraction form
    414,477.40/621,716.10 = 225,520.60/x
  3. Step 3: Cross multiply
    414,477.40x = 621,716.10 × 225,520.60
  4. Step 4: Simplify right side
    414,477.40x = 140,209,787,901.66
  5. Step 5: Solve for x
    x = 140,209,787,901.66/414,477.40
  6. Step 6: Final answer
    x = 338,280.90

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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.