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Finding the Fourth Proportional to 285,606.75, 394,121.27 and 156,520.61

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Solution

The fourth proportional to 285,606.75, 394,121.27 and 156,520.61 is: 215,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,606.75 : 394,121.27 = 156,520.61 : x
  2. Step 2: Convert to fraction form
    285,606.75/394,121.27 = 156,520.61/x
  3. Step 3: Cross multiply
    285,606.75x = 394,121.27 × 156,520.61
  4. Step 4: Simplify right side
    285,606.75x = 61,688,099,623.77
  5. Step 5: Solve for x
    x = 61,688,099,623.77/285,606.75
  6. Step 6: Final answer
    x = 215,989.64

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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.