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Finding the Fourth Proportional to 500,491.30, 690,727.50 and 285,663.73

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Solution

The fourth proportional to 500,491.30, 690,727.50 and 285,663.73 is: 394,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,491.30 : 690,727.50 = 285,663.73 : x
  2. Step 2: Convert to fraction form
    500,491.30/690,727.50 = 285,663.73/x
  3. Step 3: Cross multiply
    500,491.30x = 690,727.50 × 285,663.73
  4. Step 4: Simplify right side
    500,491.30x = 197,315,794,063.58
  5. Step 5: Solve for x
    x = 197,315,794,063.58/500,491.30
  6. Step 6: Final answer
    x = 394,244.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.