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Finding the Fourth Proportional to 263,271.30, 394,906.95 and 259,334.70

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Solution

The fourth proportional to 263,271.30, 394,906.95 and 259,334.70 is: 389,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,271.30 : 394,906.95 = 259,334.70 : x
  2. Step 2: Convert to fraction form
    263,271.30/394,906.95 = 259,334.70/x
  3. Step 3: Cross multiply
    263,271.30x = 394,906.95 × 259,334.70
  4. Step 4: Simplify right side
    263,271.30x = 102,413,075,406.17
  5. Step 5: Solve for x
    x = 102,413,075,406.17/263,271.30
  6. Step 6: Final answer
    x = 389,002.05

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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.