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Finding the Fourth Proportional to 414,745.20, 622,117.80 and 148,514.40

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Solution

The fourth proportional to 414,745.20, 622,117.80 and 148,514.40 is: 222,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,745.20 : 622,117.80 = 148,514.40 : x
  2. Step 2: Convert to fraction form
    414,745.20/622,117.80 = 148,514.40/x
  3. Step 3: Cross multiply
    414,745.20x = 622,117.80 × 148,514.40
  4. Step 4: Simplify right side
    414,745.20x = 92,393,451,796.32
  5. Step 5: Solve for x
    x = 92,393,451,796.32/414,745.20
  6. Step 6: Final answer
    x = 222,771.60

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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.