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Finding the Fourth Proportional to 263,269.62, 394,829.10 and 85,792.14

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Solution

The fourth proportional to 263,269.62, 394,829.10 and 85,792.14 is: 128,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,269.62 : 394,829.10 = 85,792.14 : x
  2. Step 2: Convert to fraction form
    263,269.62/394,829.10 = 85,792.14/x
  3. Step 3: Cross multiply
    263,269.62x = 394,829.10 × 85,792.14
  4. Step 4: Simplify right side
    263,269.62x = 33,873,233,423.27
  5. Step 5: Solve for x
    x = 33,873,233,423.27/263,269.62
  6. Step 6: Final answer
    x = 128,663.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.