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Finding the Fourth Proportional to 355,792.42, 490,991.79 and 194,644.54

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Solution

The fourth proportional to 355,792.42, 490,991.79 and 194,644.54 is: 268,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,792.42 : 490,991.79 = 194,644.54 : x
  2. Step 2: Convert to fraction form
    355,792.42/490,991.79 = 194,644.54/x
  3. Step 3: Cross multiply
    355,792.42x = 490,991.79 × 194,644.54
  4. Step 4: Simplify right side
    355,792.42x = 95,568,871,108.33
  5. Step 5: Solve for x
    x = 95,568,871,108.33/355,792.42
  6. Step 6: Final answer
    x = 268,608.51

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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.