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Finding the Fourth Proportional to 290,811.38, 401,299.41 and 163,505.78

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Solution

The fourth proportional to 290,811.38, 401,299.41 and 163,505.78 is: 225,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,811.38 : 401,299.41 = 163,505.78 : x
  2. Step 2: Convert to fraction form
    290,811.38/401,299.41 = 163,505.78/x
  3. Step 3: Cross multiply
    290,811.38x = 401,299.41 × 163,505.78
  4. Step 4: Simplify right side
    290,811.38x = 65,614,773,045.59
  5. Step 5: Solve for x
    x = 65,614,773,045.59/290,811.38
  6. Step 6: Final answer
    x = 225,626.57

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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.