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Finding the Fourth Proportional to 289,193.28, 399,082.08 and 161,868.48

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Solution

The fourth proportional to 289,193.28, 399,082.08 and 161,868.48 is: 223,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,193.28 : 399,082.08 = 161,868.48 : x
  2. Step 2: Convert to fraction form
    289,193.28/399,082.08 = 161,868.48/x
  3. Step 3: Cross multiply
    289,193.28x = 399,082.08 × 161,868.48
  4. Step 4: Simplify right side
    289,193.28x = 64,598,809,684.84
  5. Step 5: Solve for x
    x = 64,598,809,684.84/289,193.28
  6. Step 6: Final answer
    x = 223,375.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.