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Finding the Fourth Proportional to 512,648.80, 768,742.80 and 197,000.80

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Solution

The fourth proportional to 512,648.80, 768,742.80 and 197,000.80 is: 295,412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,648.80 : 768,742.80 = 197,000.80 : x
  2. Step 2: Convert to fraction form
    512,648.80/768,742.80 = 197,000.80/x
  3. Step 3: Cross multiply
    512,648.80x = 768,742.80 × 197,000.80
  4. Step 4: Simplify right side
    512,648.80x = 151,442,946,594.24
  5. Step 5: Solve for x
    x = 151,442,946,594.24/512,648.80
  6. Step 6: Final answer
    x = 295,412.66

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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.