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Finding the Fourth Proportional to 326,784.33, 490,242.11 and 149,243.67

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Solution

The fourth proportional to 326,784.33, 490,242.11 and 149,243.67 is: 223,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,784.33 : 490,242.11 = 149,243.67 : x
  2. Step 2: Convert to fraction form
    326,784.33/490,242.11 = 149,243.67/x
  3. Step 3: Cross multiply
    326,784.33x = 490,242.11 × 149,243.67
  4. Step 4: Simplify right side
    326,784.33x = 73,165,530,938.73
  5. Step 5: Solve for x
    x = 73,165,530,938.73/326,784.33
  6. Step 6: Final answer
    x = 223,895.47

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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.