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Finding the Fourth Proportional to 285,846.38, 394,468.57 and 156,785.90

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Solution

The fourth proportional to 285,846.38, 394,468.57 and 156,785.90 is: 216,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,846.38 : 394,468.57 = 156,785.90 : x
  2. Step 2: Convert to fraction form
    285,846.38/394,468.57 = 156,785.90/x
  3. Step 3: Cross multiply
    285,846.38x = 394,468.57 × 156,785.90
  4. Step 4: Simplify right side
    285,846.38x = 61,847,109,769.16
  5. Step 5: Solve for x
    x = 61,847,109,769.16/285,846.38
  6. Step 6: Final answer
    x = 216,364.86

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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.