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Finding the Fourth Proportional to 863,107.80, 1,294,661.70 and 684,648.60

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Solution

The fourth proportional to 863,107.80, 1,294,661.70 and 684,648.60 is: 1,026,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,107.80 : 1,294,661.70 = 684,648.60 : x
  2. Step 2: Convert to fraction form
    863,107.80/1,294,661.70 = 684,648.60/x
  3. Step 3: Cross multiply
    863,107.80x = 1,294,661.70 × 684,648.60
  4. Step 4: Simplify right side
    863,107.80x = 886,388,320,378.62
  5. Step 5: Solve for x
    x = 886,388,320,378.62/863,107.80
  6. Step 6: Final answer
    x = 1,026,972.90

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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.