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Finding the Fourth Proportional to 285,738.48, 394,299.84 and 164,884.80

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Solution

The fourth proportional to 285,738.48, 394,299.84 and 164,884.80 is: 227,529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,738.48 : 394,299.84 = 164,884.80 : x
  2. Step 2: Convert to fraction form
    285,738.48/394,299.84 = 164,884.80/x
  3. Step 3: Cross multiply
    285,738.48x = 394,299.84 × 164,884.80
  4. Step 4: Simplify right side
    285,738.48x = 65,014,050,258.43
  5. Step 5: Solve for x
    x = 65,014,050,258.43/285,738.48
  6. Step 6: Final answer
    x = 227,529.91

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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.