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Finding the Fourth Proportional to 285,614.72, 394,058.25 and 164,739.80

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Solution

The fourth proportional to 285,614.72, 394,058.25 and 164,739.80 is: 227,288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,614.72 : 394,058.25 = 164,739.80 : x
  2. Step 2: Convert to fraction form
    285,614.72/394,058.25 = 164,739.80/x
  3. Step 3: Cross multiply
    285,614.72x = 394,058.25 × 164,739.80
  4. Step 4: Simplify right side
    285,614.72x = 64,917,077,293.35
  5. Step 5: Solve for x
    x = 64,917,077,293.35/285,614.72
  6. Step 6: Final answer
    x = 227,288.98

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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.