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Finding the Fourth Proportional to 213,745.20, 320,617.80 and 205,580.40

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Solution

The fourth proportional to 213,745.20, 320,617.80 and 205,580.40 is: 308,370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,745.20 : 320,617.80 = 205,580.40 : x
  2. Step 2: Convert to fraction form
    213,745.20/320,617.80 = 205,580.40/x
  3. Step 3: Cross multiply
    213,745.20x = 320,617.80 × 205,580.40
  4. Step 4: Simplify right side
    213,745.20x = 65,912,735,571.12
  5. Step 5: Solve for x
    x = 65,912,735,571.12/213,745.20
  6. Step 6: Final answer
    x = 308,370.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.