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Finding the Fourth Proportional to 212,851.80, 319,277.70 and 188,890.20

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Solution

The fourth proportional to 212,851.80, 319,277.70 and 188,890.20 is: 283,335.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,851.80 : 319,277.70 = 188,890.20 : x
  2. Step 2: Convert to fraction form
    212,851.80/319,277.70 = 188,890.20/x
  3. Step 3: Cross multiply
    212,851.80x = 319,277.70 × 188,890.20
  4. Step 4: Simplify right side
    212,851.80x = 60,308,428,608.54
  5. Step 5: Solve for x
    x = 60,308,428,608.54/212,851.80
  6. Step 6: Final answer
    x = 283,335.30

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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.