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Finding the Fourth Proportional to 414,664.20, 621,996.30 and 148,433.40

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Solution

The fourth proportional to 414,664.20, 621,996.30 and 148,433.40 is: 222,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,664.20 : 621,996.30 = 148,433.40 : x
  2. Step 2: Convert to fraction form
    414,664.20/621,996.30 = 148,433.40/x
  3. Step 3: Cross multiply
    414,664.20x = 621,996.30 × 148,433.40
  4. Step 4: Simplify right side
    414,664.20x = 92,325,025,596.42
  5. Step 5: Solve for x
    x = 92,325,025,596.42/414,664.20
  6. Step 6: Final answer
    x = 222,650.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.