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Finding the Fourth Proportional to 399,165.75, 550,941.28 and 263,224.26

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Solution

The fourth proportional to 399,165.75, 550,941.28 and 263,224.26 is: 363,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,165.75 : 550,941.28 = 263,224.26 : x
  2. Step 2: Convert to fraction form
    399,165.75/550,941.28 = 263,224.26/x
  3. Step 3: Cross multiply
    399,165.75x = 550,941.28 × 263,224.26
  4. Step 4: Simplify right side
    399,165.75x = 145,021,110,073.39
  5. Step 5: Solve for x
    x = 145,021,110,073.39/399,165.75
  6. Step 6: Final answer
    x = 363,310.50

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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.