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Finding the Fourth Proportional to 512,933.30, 768,785.55 and 263,486.90

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Solution

The fourth proportional to 512,933.30, 768,785.55 and 263,486.90 is: 394,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,933.30 : 768,785.55 = 263,486.90 : x
  2. Step 2: Convert to fraction form
    512,933.30/768,785.55 = 263,486.90/x
  3. Step 3: Cross multiply
    512,933.30x = 768,785.55 × 263,486.90
  4. Step 4: Simplify right side
    512,933.30x = 202,564,921,334.30
  5. Step 5: Solve for x
    x = 202,564,921,334.30/512,933.30
  6. Step 6: Final answer
    x = 394,914.74

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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.