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Finding the Fourth Proportional to 285,755.76, 394,365.24 and 158,456.16

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Solution

The fourth proportional to 285,755.76, 394,365.24 and 158,456.16 is: 218,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,755.76 : 394,365.24 = 158,456.16 : x
  2. Step 2: Convert to fraction form
    285,755.76/394,365.24 = 158,456.16/x
  3. Step 3: Cross multiply
    285,755.76x = 394,365.24 × 158,456.16
  4. Step 4: Simplify right side
    285,755.76x = 62,489,601,567.88
  5. Step 5: Solve for x
    x = 62,489,601,567.88/285,755.76
  6. Step 6: Final answer
    x = 218,681.86

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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.