Home / 509,814.38-764,823.64-285,493.80

Finding the Fourth Proportional to 509,814.38, 764,823.64 and 285,493.80

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Solution

The fourth proportional to 509,814.38, 764,823.64 and 285,493.80 is: 428,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,814.38 : 764,823.64 = 285,493.80 : x
  2. Step 2: Convert to fraction form
    509,814.38/764,823.64 = 285,493.80/x
  3. Step 3: Cross multiply
    509,814.38x = 764,823.64 × 285,493.80
  4. Step 4: Simplify right side
    509,814.38x = 218,352,407,313.43
  5. Step 5: Solve for x
    x = 218,352,407,313.43/509,814.38
  6. Step 6: Final answer
    x = 428,297.86

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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.