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Finding the Fourth Proportional to 285,857.81, 394,481.04 and 156,793.62

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Solution

The fourth proportional to 285,857.81, 394,481.04 and 156,793.62 is: 216,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,857.81 : 394,481.04 = 156,793.62 : x
  2. Step 2: Convert to fraction form
    285,857.81/394,481.04 = 156,793.62/x
  3. Step 3: Cross multiply
    285,857.81x = 394,481.04 × 156,793.62
  4. Step 4: Simplify right side
    285,857.81x = 61,852,111,174.29
  5. Step 5: Solve for x
    x = 61,852,111,174.29/285,857.81
  6. Step 6: Final answer
    x = 216,373.70

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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.