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Finding the Fourth Proportional to 285,300.44, 393,714.56 and 157,976

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Solution

The fourth proportional to 285,300.44, 393,714.56 and 157,976 is: 218,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,300.44 : 393,714.56 = 157,976 : x
  2. Step 2: Convert to fraction form
    285,300.44/393,714.56 = 157,976/x
  3. Step 3: Cross multiply
    285,300.44x = 393,714.56 × 157,976
  4. Step 4: Simplify right side
    285,300.44x = 62,197,451,330.56
  5. Step 5: Solve for x
    x = 62,197,451,330.56/285,300.44
  6. Step 6: Final answer
    x = 218,006.85

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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.