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Finding the Fourth Proportional to 285,311.34, 393,729.38 and 157,986.94

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Solution

The fourth proportional to 285,311.34, 393,729.38 and 157,986.94 is: 218,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,311.34 : 393,729.38 = 157,986.94 : x
  2. Step 2: Convert to fraction form
    285,311.34/393,729.38 = 157,986.94/x
  3. Step 3: Cross multiply
    285,311.34x = 393,729.38 × 157,986.94
  4. Step 4: Simplify right side
    285,311.34x = 62,204,099,934.30
  5. Step 5: Solve for x
    x = 62,204,099,934.30/285,311.34
  6. Step 6: Final answer
    x = 218,021.83

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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.