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Finding the Fourth Proportional to 300,078.99, 414,259.55 and 231,942.11

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Solution

The fourth proportional to 300,078.99, 414,259.55 and 231,942.11 is: 320,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,078.99 : 414,259.55 = 231,942.11 : x
  2. Step 2: Convert to fraction form
    300,078.99/414,259.55 = 231,942.11/x
  3. Step 3: Cross multiply
    300,078.99x = 414,259.55 × 231,942.11
  4. Step 4: Simplify right side
    300,078.99x = 96,084,230,883.64
  5. Step 5: Solve for x
    x = 96,084,230,883.64/300,078.99
  6. Step 6: Final answer
    x = 320,196.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.