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Finding the Fourth Proportional to 285,553.62, 394,042.32 and 158,226.48

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Solution

The fourth proportional to 285,553.62, 394,042.32 and 158,226.48 is: 218,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,553.62 : 394,042.32 = 158,226.48 : x
  2. Step 2: Convert to fraction form
    285,553.62/394,042.32 = 158,226.48/x
  3. Step 3: Cross multiply
    285,553.62x = 394,042.32 × 158,226.48
  4. Step 4: Simplify right side
    285,553.62x = 62,347,929,264.63
  5. Step 5: Solve for x
    x = 62,347,929,264.63/285,553.62
  6. Step 6: Final answer
    x = 218,340.53

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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.