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Finding the Fourth Proportional to 213,728.22, 320,959.47 and 189,766.48

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Solution

The fourth proportional to 213,728.22, 320,959.47 and 189,766.48 is: 284,975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,728.22 : 320,959.47 = 189,766.48 : x
  2. Step 2: Convert to fraction form
    213,728.22/320,959.47 = 189,766.48/x
  3. Step 3: Cross multiply
    213,728.22x = 320,959.47 × 189,766.48
  4. Step 4: Simplify right side
    213,728.22x = 60,907,349,775.63
  5. Step 5: Solve for x
    x = 60,907,349,775.63/213,728.22
  6. Step 6: Final answer
    x = 284,975.70

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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.