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Finding the Fourth Proportional to 512,462.40, 768,045.60 and 196,497.60

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Solution

The fourth proportional to 512,462.40, 768,045.60 and 196,497.60 is: 294,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,462.40 : 768,045.60 = 196,497.60 : x
  2. Step 2: Convert to fraction form
    512,462.40/768,045.60 = 196,497.60/x
  3. Step 3: Cross multiply
    512,462.40x = 768,045.60 × 196,497.60
  4. Step 4: Simplify right side
    512,462.40x = 150,919,117,090.56
  5. Step 5: Solve for x
    x = 150,919,117,090.56/512,462.40
  6. Step 6: Final answer
    x = 294,497.93

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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.