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Finding the Fourth Proportional to 270,667.42, 405,816.60 and 137,290.49

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Solution

The fourth proportional to 270,667.42, 405,816.60 and 137,290.49 is: 205,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,667.42 : 405,816.60 = 137,290.49 : x
  2. Step 2: Convert to fraction form
    270,667.42/405,816.60 = 137,290.49/x
  3. Step 3: Cross multiply
    270,667.42x = 405,816.60 × 137,290.49
  4. Step 4: Simplify right side
    270,667.42x = 55,714,759,177.68
  5. Step 5: Solve for x
    x = 55,714,759,177.68/270,667.42
  6. Step 6: Final answer
    x = 205,842.14

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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.