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Finding the Fourth Proportional to 270,330.94, 405,453.81 and 90,415

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Solution

The fourth proportional to 270,330.94, 405,453.81 and 90,415 is: 135,608.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,330.94 : 405,453.81 = 90,415 : x
  2. Step 2: Convert to fraction form
    270,330.94/405,453.81 = 90,415/x
  3. Step 3: Cross multiply
    270,330.94x = 405,453.81 × 90,415
  4. Step 4: Simplify right side
    270,330.94x = 36,659,106,231.15
  5. Step 5: Solve for x
    x = 36,659,106,231.15/270,330.94
  6. Step 6: Final answer
    x = 135,608.25

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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.