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Finding the Fourth Proportional to 414,586.06, 621,879.09 and 228,778.54

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Solution

The fourth proportional to 414,586.06, 621,879.09 and 228,778.54 is: 343,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,586.06 : 621,879.09 = 228,778.54 : x
  2. Step 2: Convert to fraction form
    414,586.06/621,879.09 = 228,778.54/x
  3. Step 3: Cross multiply
    414,586.06x = 621,879.09 × 228,778.54
  4. Step 4: Simplify right side
    414,586.06x = 142,272,590,266.73
  5. Step 5: Solve for x
    x = 142,272,590,266.73/414,586.06
  6. Step 6: Final answer
    x = 343,167.81

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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.