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Finding the Fourth Proportional to 503,516.88, 694,864.61 and 285,739.86

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Solution

The fourth proportional to 503,516.88, 694,864.61 and 285,739.86 is: 394,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,516.88 : 694,864.61 = 285,739.86 : x
  2. Step 2: Convert to fraction form
    503,516.88/694,864.61 = 285,739.86/x
  3. Step 3: Cross multiply
    503,516.88x = 694,864.61 × 285,739.86
  4. Step 4: Simplify right side
    503,516.88x = 198,550,516,380.36
  5. Step 5: Solve for x
    x = 198,550,516,380.36/503,516.88
  6. Step 6: Final answer
    x = 394,327.43

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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.