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Finding the Fourth Proportional to 864,625, 1,296,943.26 and 273,649

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Solution

The fourth proportional to 864,625, 1,296,943.26 and 273,649 is: 410,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,625 : 1,296,943.26 = 273,649 : x
  2. Step 2: Convert to fraction form
    864,625/1,296,943.26 = 273,649/x
  3. Step 3: Cross multiply
    864,625x = 1,296,943.26 × 273,649
  4. Step 4: Simplify right side
    864,625x = 354,907,226,155.74
  5. Step 5: Solve for x
    x = 354,907,226,155.74/864,625
  6. Step 6: Final answer
    x = 410,475.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.