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Finding the Fourth Proportional to 285,672.42, 394,231.86 and 156,623.04

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Solution

The fourth proportional to 285,672.42, 394,231.86 and 156,623.04 is: 216,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,672.42 : 394,231.86 = 156,623.04 : x
  2. Step 2: Convert to fraction form
    285,672.42/394,231.86 = 156,623.04/x
  3. Step 3: Cross multiply
    285,672.42x = 394,231.86 × 156,623.04
  4. Step 4: Simplify right side
    285,672.42x = 61,745,792,378.05
  5. Step 5: Solve for x
    x = 61,745,792,378.05/285,672.42
  6. Step 6: Final answer
    x = 216,141.94

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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.