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Finding the Fourth Proportional to 502,550.50, 693,546.26 and 287,722.86

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Solution

The fourth proportional to 502,550.50, 693,546.26 and 287,722.86 is: 397,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,550.50 : 693,546.26 = 287,722.86 : x
  2. Step 2: Convert to fraction form
    502,550.50/693,546.26 = 287,722.86/x
  3. Step 3: Cross multiply
    502,550.50x = 693,546.26 × 287,722.86
  4. Step 4: Simplify right side
    502,550.50x = 199,549,113,469.50
  5. Step 5: Solve for x
    x = 199,549,113,469.50/502,550.50
  6. Step 6: Final answer
    x = 397,072.76

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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.