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Finding the Fourth Proportional to 326,764,808.40, 490,147,212.60 and 324,497,326.80

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Solution

The fourth proportional to 326,764,808.40, 490,147,212.60 and 324,497,326.80 is: 486,745,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,764,808.40 : 490,147,212.60 = 324,497,326.80 : x
  2. Step 2: Convert to fraction form
    326,764,808.40/490,147,212.60 = 324,497,326.80/x
  3. Step 3: Cross multiply
    326,764,808.40x = 490,147,212.60 × 324,497,326.80
  4. Step 4: Simplify right side
    326,764,808.40x = 159,051,460,227,171,296
  5. Step 5: Solve for x
    x = 159,051,460,227,171,296/326,764,808.40
  6. Step 6: Final answer
    x = 486,745,990.20

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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.