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Finding the Fourth Proportional to 270,553.20, 405,829.80 and 122,809.20

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Solution

The fourth proportional to 270,553.20, 405,829.80 and 122,809.20 is: 184,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,553.20 : 405,829.80 = 122,809.20 : x
  2. Step 2: Convert to fraction form
    270,553.20/405,829.80 = 122,809.20/x
  3. Step 3: Cross multiply
    270,553.20x = 405,829.80 × 122,809.20
  4. Step 4: Simplify right side
    270,553.20x = 49,839,633,074.16
  5. Step 5: Solve for x
    x = 49,839,633,074.16/270,553.20
  6. Step 6: Final answer
    x = 184,213.80

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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.