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Finding the Fourth Proportional to 414,778.80, 621,707.40 and 178,081.20

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Solution

The fourth proportional to 414,778.80, 621,707.40 and 178,081.20 is: 266,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,778.80 : 621,707.40 = 178,081.20 : x
  2. Step 2: Convert to fraction form
    414,778.80/621,707.40 = 178,081.20/x
  3. Step 3: Cross multiply
    414,778.80x = 621,707.40 × 178,081.20
  4. Step 4: Simplify right side
    414,778.80x = 110,714,399,840.88
  5. Step 5: Solve for x
    x = 110,714,399,840.88/414,778.80
  6. Step 6: Final answer
    x = 266,923.96

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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.