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Finding the Fourth Proportional to 270,697.11, 405,881.25 and 135,604.07

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Solution

The fourth proportional to 270,697.11, 405,881.25 and 135,604.07 is: 203,323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,697.11 : 405,881.25 = 135,604.07 : x
  2. Step 2: Convert to fraction form
    270,697.11/405,881.25 = 135,604.07/x
  3. Step 3: Cross multiply
    270,697.11x = 405,881.25 × 135,604.07
  4. Step 4: Simplify right side
    270,697.11x = 55,039,149,436.69
  5. Step 5: Solve for x
    x = 55,039,149,436.69/270,697.11
  6. Step 6: Final answer
    x = 203,323.74

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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.