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Finding the Fourth Proportional to 393,193.80, 589,790.70 and 179,961.30

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Solution

The fourth proportional to 393,193.80, 589,790.70 and 179,961.30 is: 269,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,193.80 : 589,790.70 = 179,961.30 : x
  2. Step 2: Convert to fraction form
    393,193.80/589,790.70 = 179,961.30/x
  3. Step 3: Cross multiply
    393,193.80x = 589,790.70 × 179,961.30
  4. Step 4: Simplify right side
    393,193.80x = 106,139,501,099.91
  5. Step 5: Solve for x
    x = 106,139,501,099.91/393,193.80
  6. Step 6: Final answer
    x = 269,941.95

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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.