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Finding the Fourth Proportional to 285,806.25, 394,384.20 and 164,986.46

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Solution

The fourth proportional to 285,806.25, 394,384.20 and 164,986.46 is: 227,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,806.25 : 394,384.20 = 164,986.46 : x
  2. Step 2: Convert to fraction form
    285,806.25/394,384.20 = 164,986.46/x
  3. Step 3: Cross multiply
    285,806.25x = 394,384.20 × 164,986.46
  4. Step 4: Simplify right side
    285,806.25x = 65,068,052,213.00
  5. Step 5: Solve for x
    x = 65,068,052,213.00/285,806.25
  6. Step 6: Final answer
    x = 227,664.90

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1.5x scale

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.