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Finding the Fourth Proportional to 326,980, 490,469.34 and 90,321.98

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Solution

The fourth proportional to 326,980, 490,469.34 and 90,321.98 is: 135,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,980 : 490,469.34 = 90,321.98 : x
  2. Step 2: Convert to fraction form
    326,980/490,469.34 = 90,321.98/x
  3. Step 3: Cross multiply
    326,980x = 490,469.34 × 90,321.98
  4. Step 4: Simplify right side
    326,980x = 44,300,161,918.09
  5. Step 5: Solve for x
    x = 44,300,161,918.09/326,980
  6. Step 6: Final answer
    x = 135,482.79

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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.