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Finding the Fourth Proportional to 285,546.69, 394,056.77 and 158,224.41

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Solution

The fourth proportional to 285,546.69, 394,056.77 and 158,224.41 is: 218,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,546.69 : 394,056.77 = 158,224.41 : x
  2. Step 2: Convert to fraction form
    285,546.69/394,056.77 = 158,224.41/x
  3. Step 3: Cross multiply
    285,546.69x = 394,056.77 × 158,224.41
  4. Step 4: Simplify right side
    285,546.69x = 62,349,399,148.63
  5. Step 5: Solve for x
    x = 62,349,399,148.63/285,546.69
  6. Step 6: Final answer
    x = 218,350.98

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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.