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Finding the Fourth Proportional to 213,993.58, 320,989.60 and 64,233.22

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Solution

The fourth proportional to 213,993.58, 320,989.60 and 64,233.22 is: 96,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,993.58 : 320,989.60 = 64,233.22 : x
  2. Step 2: Convert to fraction form
    213,993.58/320,989.60 = 64,233.22/x
  3. Step 3: Cross multiply
    213,993.58x = 320,989.60 × 64,233.22
  4. Step 4: Simplify right side
    213,993.58x = 20,618,195,433.93
  5. Step 5: Solve for x
    x = 20,618,195,433.93/213,993.58
  6. Step 6: Final answer
    x = 96,349.60

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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.