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Finding the Fourth Proportional to 809,233, 1,213,907.82 and 310,597

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Solution

The fourth proportional to 809,233, 1,213,907.82 and 310,597 is: 465,917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,233 : 1,213,907.82 = 310,597 : x
  2. Step 2: Convert to fraction form
    809,233/1,213,907.82 = 310,597/x
  3. Step 3: Cross multiply
    809,233x = 1,213,907.82 × 310,597
  4. Step 4: Simplify right side
    809,233x = 377,036,127,168.54
  5. Step 5: Solve for x
    x = 377,036,127,168.54/809,233
  6. Step 6: Final answer
    x = 465,917.88

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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.