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Finding the Fourth Proportional to 509,813.20, 764,719.80 and 444,859.30

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Solution

The fourth proportional to 509,813.20, 764,719.80 and 444,859.30 is: 667,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,813.20 : 764,719.80 = 444,859.30 : x
  2. Step 2: Convert to fraction form
    509,813.20/764,719.80 = 444,859.30/x
  3. Step 3: Cross multiply
    509,813.20x = 764,719.80 × 444,859.30
  4. Step 4: Simplify right side
    509,813.20x = 340,192,714,924.14
  5. Step 5: Solve for x
    x = 340,192,714,924.14/509,813.20
  6. Step 6: Final answer
    x = 667,288.95

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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.