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Finding the Fourth Proportional to 270,531.20, 405,796.80 and 259,644.80

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Solution

The fourth proportional to 270,531.20, 405,796.80 and 259,644.80 is: 389,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,531.20 : 405,796.80 = 259,644.80 : x
  2. Step 2: Convert to fraction form
    270,531.20/405,796.80 = 259,644.80/x
  3. Step 3: Cross multiply
    270,531.20x = 405,796.80 × 259,644.80
  4. Step 4: Simplify right side
    270,531.20x = 105,363,028,976.64
  5. Step 5: Solve for x
    x = 105,363,028,976.64/270,531.20
  6. Step 6: Final answer
    x = 389,467.20

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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.