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Finding the Fourth Proportional to 285,976.80, 394,695.36 and 158,693.28

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Solution

The fourth proportional to 285,976.80, 394,695.36 and 158,693.28 is: 219,023.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,976.80 : 394,695.36 = 158,693.28 : x
  2. Step 2: Convert to fraction form
    285,976.80/394,695.36 = 158,693.28/x
  3. Step 3: Cross multiply
    285,976.80x = 394,695.36 × 158,693.28
  4. Step 4: Simplify right side
    285,976.80x = 62,635,501,279.18
  5. Step 5: Solve for x
    x = 62,635,501,279.18/285,976.80
  6. Step 6: Final answer
    x = 219,023.02

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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.