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Finding the Fourth Proportional to 500,451.86, 690,635.14 and 285,611.96

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Solution

The fourth proportional to 500,451.86, 690,635.14 and 285,611.96 is: 394,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,451.86 : 690,635.14 = 285,611.96 : x
  2. Step 2: Convert to fraction form
    500,451.86/690,635.14 = 285,611.96/x
  3. Step 3: Cross multiply
    500,451.86x = 690,635.14 × 285,611.96
  4. Step 4: Simplify right side
    500,451.86x = 197,253,655,980.27
  5. Step 5: Solve for x
    x = 197,253,655,980.27/500,451.86
  6. Step 6: Final answer
    x = 394,151.11

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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.