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Finding the Fourth Proportional to 500,699.58, 690,993.09 and 285,908.64

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Solution

The fourth proportional to 500,699.58, 690,993.09 and 285,908.64 is: 394,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,699.58 : 690,993.09 = 285,908.64 : x
  2. Step 2: Convert to fraction form
    500,699.58/690,993.09 = 285,908.64/x
  3. Step 3: Cross multiply
    500,699.58x = 690,993.09 × 285,908.64
  4. Step 4: Simplify right side
    500,699.58x = 197,560,894,611.30
  5. Step 5: Solve for x
    x = 197,560,894,611.30/500,699.58
  6. Step 6: Final answer
    x = 394,569.72

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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.