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Finding the Fourth Proportional to 285,821.60, 394,407.96 and 158,496.80

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Solution

The fourth proportional to 285,821.60, 394,407.96 and 158,496.80 is: 218,711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,821.60 : 394,407.96 = 158,496.80 : x
  2. Step 2: Convert to fraction form
    285,821.60/394,407.96 = 158,496.80/x
  3. Step 3: Cross multiply
    285,821.60x = 394,407.96 × 158,496.80
  4. Step 4: Simplify right side
    285,821.60x = 62,512,399,554.53
  5. Step 5: Solve for x
    x = 62,512,399,554.53/285,821.60
  6. Step 6: Final answer
    x = 218,711.25

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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.