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Finding the Fourth Proportional to 285,937.83, 394,641.36 and 158,654.43

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Solution

The fourth proportional to 285,937.83, 394,641.36 and 158,654.43 is: 218,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,937.83 : 394,641.36 = 158,654.43 : x
  2. Step 2: Convert to fraction form
    285,937.83/394,641.36 = 158,654.43/x
  3. Step 3: Cross multiply
    285,937.83x = 394,641.36 × 158,654.43
  4. Step 4: Simplify right side
    285,937.83x = 62,611,600,025.22
  5. Step 5: Solve for x
    x = 62,611,600,025.22/285,937.83
  6. Step 6: Final answer
    x = 218,969.28

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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.