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Finding the Fourth Proportional to 500,463.92, 690,689.89 and 285,636.43

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Solution

The fourth proportional to 500,463.92, 690,689.89 and 285,636.43 is: 394,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,463.92 : 690,689.89 = 285,636.43 : x
  2. Step 2: Convert to fraction form
    500,463.92/690,689.89 = 285,636.43/x
  3. Step 3: Cross multiply
    500,463.92x = 690,689.89 × 285,636.43
  4. Step 4: Simplify right side
    500,463.92x = 197,286,194,416.69
  5. Step 5: Solve for x
    x = 197,286,194,416.69/500,463.92
  6. Step 6: Final answer
    x = 394,206.63

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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.