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Finding the Fourth Proportional to 326,946.78, 490,406.60 and 113,763.49

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Solution

The fourth proportional to 326,946.78, 490,406.60 and 113,763.49 is: 170,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,946.78 : 490,406.60 = 113,763.49 : x
  2. Step 2: Convert to fraction form
    326,946.78/490,406.60 = 113,763.49/x
  3. Step 3: Cross multiply
    326,946.78x = 490,406.60 × 113,763.49
  4. Step 4: Simplify right side
    326,946.78x = 55,790,365,393.43
  5. Step 5: Solve for x
    x = 55,790,365,393.43/326,946.78
  6. Step 6: Final answer
    x = 170,640.51

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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.