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Finding the Fourth Proportional to 285,920.80, 394,563.09 and 165,058

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Solution

The fourth proportional to 285,920.80, 394,563.09 and 165,058 is: 227,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,920.80 : 394,563.09 = 165,058 : x
  2. Step 2: Convert to fraction form
    285,920.80/394,563.09 = 165,058/x
  3. Step 3: Cross multiply
    285,920.80x = 394,563.09 × 165,058
  4. Step 4: Simplify right side
    285,920.80x = 65,125,794,509.22
  5. Step 5: Solve for x
    x = 65,125,794,509.22/285,920.80
  6. Step 6: Final answer
    x = 227,775.64

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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.