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Finding the Fourth Proportional to 500,366.42, 690,490.64 and 285,500.96

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Solution

The fourth proportional to 500,366.42, 690,490.64 and 285,500.96 is: 393,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,366.42 : 690,490.64 = 285,500.96 : x
  2. Step 2: Convert to fraction form
    500,366.42/690,490.64 = 285,500.96/x
  3. Step 3: Cross multiply
    500,366.42x = 690,490.64 × 285,500.96
  4. Step 4: Simplify right side
    500,366.42x = 197,135,740,591.01
  5. Step 5: Solve for x
    x = 197,135,740,591.01/500,366.42
  6. Step 6: Final answer
    x = 393,982.75

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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.