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Finding the Fourth Proportional to 421,912.48, 582,234.74 and 228,315.92

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Solution

The fourth proportional to 421,912.48, 582,234.74 and 228,315.92 is: 315,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,912.48 : 582,234.74 = 228,315.92 : x
  2. Step 2: Convert to fraction form
    421,912.48/582,234.74 = 228,315.92/x
  3. Step 3: Cross multiply
    421,912.48x = 582,234.74 × 228,315.92
  4. Step 4: Simplify right side
    421,912.48x = 132,933,460,319.06
  5. Step 5: Solve for x
    x = 132,933,460,319.06/421,912.48
  6. Step 6: Final answer
    x = 315,073.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.