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Finding the Fourth Proportional to 279,954.39, 420,202.26 and 264,782.15

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Solution

The fourth proportional to 279,954.39, 420,202.26 and 264,782.15 is: 397,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,954.39 : 420,202.26 = 264,782.15 : x
  2. Step 2: Convert to fraction form
    279,954.39/420,202.26 = 264,782.15/x
  3. Step 3: Cross multiply
    279,954.39x = 420,202.26 × 264,782.15
  4. Step 4: Simplify right side
    279,954.39x = 111,262,055,736.65
  5. Step 5: Solve for x
    x = 111,262,055,736.65/279,954.39
  6. Step 6: Final answer
    x = 397,429.22

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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.