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Finding the Fourth Proportional to 285,671.80, 394,199.22 and 158,344.66

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Solution

The fourth proportional to 285,671.80, 394,199.22 and 158,344.66 is: 218,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,671.80 : 394,199.22 = 158,344.66 : x
  2. Step 2: Convert to fraction form
    285,671.80/394,199.22 = 158,344.66/x
  3. Step 3: Cross multiply
    285,671.80x = 394,199.22 × 158,344.66
  4. Step 4: Simplify right side
    285,671.80x = 62,419,341,463.17
  5. Step 5: Solve for x
    x = 62,419,341,463.17/285,671.80
  6. Step 6: Final answer
    x = 218,500.19

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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.