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Finding the Fourth Proportional to 213,848.20, 320,849.10 and 206,168.20

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Solution

The fourth proportional to 213,848.20, 320,849.10 and 206,168.20 is: 309,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,848.20 : 320,849.10 = 206,168.20 : x
  2. Step 2: Convert to fraction form
    213,848.20/320,849.10 = 206,168.20/x
  3. Step 3: Cross multiply
    213,848.20x = 320,849.10 × 206,168.20
  4. Step 4: Simplify right side
    213,848.20x = 66,148,881,418.62
  5. Step 5: Solve for x
    x = 66,148,881,418.62/213,848.20
  6. Step 6: Final answer
    x = 309,326.34

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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.