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Finding the Fourth Proportional to 285,422.98, 393,896.68 and 158,098.56

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Solution

The fourth proportional to 285,422.98, 393,896.68 and 158,098.56 is: 218,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,422.98 : 393,896.68 = 158,098.56 : x
  2. Step 2: Convert to fraction form
    285,422.98/393,896.68 = 158,098.56/x
  3. Step 3: Cross multiply
    285,422.98x = 393,896.68 × 158,098.56
  4. Step 4: Simplify right side
    285,422.98x = 62,274,497,896.78
  5. Step 5: Solve for x
    x = 62,274,497,896.78/285,422.98
  6. Step 6: Final answer
    x = 218,183.20

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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.