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Finding the Fourth Proportional to 289,871.28, 400,022.28 and 162,546.48

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Solution

The fourth proportional to 289,871.28, 400,022.28 and 162,546.48 is: 224,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,871.28 : 400,022.28 = 162,546.48 : x
  2. Step 2: Convert to fraction form
    289,871.28/400,022.28 = 162,546.48/x
  3. Step 3: Cross multiply
    289,871.28x = 400,022.28 × 162,546.48
  4. Step 4: Simplify right side
    289,871.28x = 65,022,213,535.57
  5. Step 5: Solve for x
    x = 65,022,213,535.57/289,871.28
  6. Step 6: Final answer
    x = 224,314.09

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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.