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Finding the Fourth Proportional to 263,874.89, 394,878 and 164,082.08

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Solution

The fourth proportional to 263,874.89, 394,878 and 164,082.08 is: 245,542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,874.89 : 394,878 = 164,082.08 : x
  2. Step 2: Convert to fraction form
    263,874.89/394,878 = 164,082.08/x
  3. Step 3: Cross multiply
    263,874.89x = 394,878 × 164,082.08
  4. Step 4: Simplify right side
    263,874.89x = 64,792,403,586.24
  5. Step 5: Solve for x
    x = 64,792,403,586.24/263,874.89
  6. Step 6: Final answer
    x = 245,542.13

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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.