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Finding the Fourth Proportional to 512,820.12, 769,230.72 and 133,740.48

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Solution

The fourth proportional to 512,820.12, 769,230.72 and 133,740.48 is: 200,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,820.12 : 769,230.72 = 133,740.48 : x
  2. Step 2: Convert to fraction form
    512,820.12/769,230.72 = 133,740.48/x
  3. Step 3: Cross multiply
    512,820.12x = 769,230.72 × 133,740.48
  4. Step 4: Simplify right side
    512,820.12x = 102,877,285,723.55
  5. Step 5: Solve for x
    x = 102,877,285,723.55/512,820.12
  6. Step 6: Final answer
    x = 200,610.86

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1.5x scale

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.