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Finding the Fourth Proportional to 500,458.94, 690,682.98 and 285,631.54

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Solution

The fourth proportional to 500,458.94, 690,682.98 and 285,631.54 is: 394,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,458.94 : 690,682.98 = 285,631.54 : x
  2. Step 2: Convert to fraction form
    500,458.94/690,682.98 = 285,631.54/x
  3. Step 3: Cross multiply
    500,458.94x = 690,682.98 × 285,631.54
  4. Step 4: Simplify right side
    500,458.94x = 197,280,843,229.19
  5. Step 5: Solve for x
    x = 197,280,843,229.19/500,458.94
  6. Step 6: Final answer
    x = 394,199.86

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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.