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Finding the Fourth Proportional to 277,309.56, 415,964.32 and 90,321.06

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Solution

The fourth proportional to 277,309.56, 415,964.32 and 90,321.06 is: 135,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,309.56 : 415,964.32 = 90,321.06 : x
  2. Step 2: Convert to fraction form
    277,309.56/415,964.32 = 90,321.06/x
  3. Step 3: Cross multiply
    277,309.56x = 415,964.32 × 90,321.06
  4. Step 4: Simplify right side
    277,309.56x = 37,570,338,078.78
  5. Step 5: Solve for x
    x = 37,570,338,078.78/277,309.56
  6. Step 6: Final answer
    x = 135,481.58

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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.