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Finding the Fourth Proportional to 290,198.85, 400,471.07 and 162,871.71

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Solution

The fourth proportional to 290,198.85, 400,471.07 and 162,871.71 is: 224,761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,198.85 : 400,471.07 = 162,871.71 : x
  2. Step 2: Convert to fraction form
    290,198.85/400,471.07 = 162,871.71/x
  3. Step 3: Cross multiply
    290,198.85x = 400,471.07 × 162,871.71
  4. Step 4: Simplify right side
    290,198.85x = 65,225,407,162.07
  5. Step 5: Solve for x
    x = 65,225,407,162.07/290,198.85
  6. Step 6: Final answer
    x = 224,761.08

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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.