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Finding the Fourth Proportional to 290,745.86, 401,170.46 and 169,863.79

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Solution

The fourth proportional to 290,745.86, 401,170.46 and 169,863.79 is: 234,377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,745.86 : 401,170.46 = 169,863.79 : x
  2. Step 2: Convert to fraction form
    290,745.86/401,170.46 = 169,863.79/x
  3. Step 3: Cross multiply
    290,745.86x = 401,170.46 × 169,863.79
  4. Step 4: Simplify right side
    290,745.86x = 68,144,336,233.11
  5. Step 5: Solve for x
    x = 68,144,336,233.11/290,745.86
  6. Step 6: Final answer
    x = 234,377.67

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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.