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Finding the Fourth Proportional to 512,231.10, 768,346.65 and 263,399.10

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Solution

The fourth proportional to 512,231.10, 768,346.65 and 263,399.10 is: 395,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,231.10 : 768,346.65 = 263,399.10 : x
  2. Step 2: Convert to fraction form
    512,231.10/768,346.65 = 263,399.10/x
  3. Step 3: Cross multiply
    512,231.10x = 768,346.65 × 263,399.10
  4. Step 4: Simplify right side
    512,231.10x = 202,381,816,098.02
  5. Step 5: Solve for x
    x = 202,381,816,098.02/512,231.10
  6. Step 6: Final answer
    x = 395,098.65

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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.