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Finding the Fourth Proportional to 512,048.79, 768,172.28 and 196,481.16

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Solution

The fourth proportional to 512,048.79, 768,172.28 and 196,481.16 is: 294,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,048.79 : 768,172.28 = 196,481.16 : x
  2. Step 2: Convert to fraction form
    512,048.79/768,172.28 = 196,481.16/x
  3. Step 3: Cross multiply
    512,048.79x = 768,172.28 × 196,481.16
  4. Step 4: Simplify right side
    512,048.79x = 150,931,379,671.84
  5. Step 5: Solve for x
    x = 150,931,379,671.84/512,048.79
  6. Step 6: Final answer
    x = 294,759.76

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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.