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Finding the Fourth Proportional to 512,294.59, 768,478.79 and 196,751.50

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Solution

The fourth proportional to 512,294.59, 768,478.79 and 196,751.50 is: 295,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,294.59 : 768,478.79 = 196,751.50 : x
  2. Step 2: Convert to fraction form
    512,294.59/768,478.79 = 196,751.50/x
  3. Step 3: Cross multiply
    512,294.59x = 768,478.79 × 196,751.50
  4. Step 4: Simplify right side
    512,294.59x = 151,199,353,221.37
  5. Step 5: Solve for x
    x = 151,199,353,221.37/512,294.59
  6. Step 6: Final answer
    x = 295,141.42

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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.