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Finding the Fourth Proportional to 414,666.90, 621,016.20 and 255,234.60

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Solution

The fourth proportional to 414,666.90, 621,016.20 and 255,234.60 is: 382,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,666.90 : 621,016.20 = 255,234.60 : x
  2. Step 2: Convert to fraction form
    414,666.90/621,016.20 = 255,234.60/x
  3. Step 3: Cross multiply
    414,666.90x = 621,016.20 × 255,234.60
  4. Step 4: Simplify right side
    414,666.90x = 158,504,821,400.52
  5. Step 5: Solve for x
    x = 158,504,821,400.52/414,666.90
  6. Step 6: Final answer
    x = 382,246.14

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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.