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Finding the Fourth Proportional to 685,701, 1,028,352.92 and 205,909.43

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Solution

The fourth proportional to 685,701, 1,028,352.92 and 205,909.43 is: 308,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,701 : 1,028,352.92 = 205,909.43 : x
  2. Step 2: Convert to fraction form
    685,701/1,028,352.92 = 205,909.43/x
  3. Step 3: Cross multiply
    685,701x = 1,028,352.92 × 205,909.43
  4. Step 4: Simplify right side
    685,701x = 211,747,557,424.72
  5. Step 5: Solve for x
    x = 211,747,557,424.72/685,701
  6. Step 6: Final answer
    x = 308,804.50

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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.