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Finding the Fourth Proportional to 281,880, 389,028.96 and 162,648

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Solution

The fourth proportional to 281,880, 389,028.96 and 162,648 is: 224,474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,880 : 389,028.96 = 162,648 : x
  2. Step 2: Convert to fraction form
    281,880/389,028.96 = 162,648/x
  3. Step 3: Cross multiply
    281,880x = 389,028.96 × 162,648
  4. Step 4: Simplify right side
    281,880x = 63,274,782,286.08
  5. Step 5: Solve for x
    x = 63,274,782,286.08/281,880
  6. Step 6: Final answer
    x = 224,474.18

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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.