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Finding the Fourth Proportional to 512,270.30, 768,505.08 and 196,704.02

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Solution

The fourth proportional to 512,270.30, 768,505.08 and 196,704.02 is: 295,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,270.30 : 768,505.08 = 196,704.02 : x
  2. Step 2: Convert to fraction form
    512,270.30/768,505.08 = 196,704.02/x
  3. Step 3: Cross multiply
    512,270.30x = 768,505.08 × 196,704.02
  4. Step 4: Simplify right side
    512,270.30x = 151,168,038,626.42
  5. Step 5: Solve for x
    x = 151,168,038,626.42/512,270.30
  6. Step 6: Final answer
    x = 295,094.29

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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.