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Finding the Fourth Proportional to 295,890.39, 408,321.14 and 161,745.75

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Solution

The fourth proportional to 295,890.39, 408,321.14 and 161,745.75 is: 223,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,890.39 : 408,321.14 = 161,745.75 : x
  2. Step 2: Convert to fraction form
    295,890.39/408,321.14 = 161,745.75/x
  3. Step 3: Cross multiply
    295,890.39x = 408,321.14 × 161,745.75
  4. Step 4: Simplify right side
    295,890.39x = 66,044,208,221.43
  5. Step 5: Solve for x
    x = 66,044,208,221.43/295,890.39
  6. Step 6: Final answer
    x = 223,204.98

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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.