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Finding the Fourth Proportional to 285,816.16, 394,335.30 and 164,941.48

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Solution

The fourth proportional to 285,816.16, 394,335.30 and 164,941.48 is: 227,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,816.16 : 394,335.30 = 164,941.48 : x
  2. Step 2: Convert to fraction form
    285,816.16/394,335.30 = 164,941.48/x
  3. Step 3: Cross multiply
    285,816.16x = 394,335.30 × 164,941.48
  4. Step 4: Simplify right side
    285,816.16x = 65,042,247,998.24
  5. Step 5: Solve for x
    x = 65,042,247,998.24/285,816.16
  6. Step 6: Final answer
    x = 227,566.73

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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.