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Finding the Fourth Proportional to 8,321,297.80, 12,481,946.70 and 6,809,643.40

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Solution

The fourth proportional to 8,321,297.80, 12,481,946.70 and 6,809,643.40 is: 10,214,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321,297.80 : 12,481,946.70 = 6,809,643.40 : x
  2. Step 2: Convert to fraction form
    8,321,297.80/12,481,946.70 = 6,809,643.40/x
  3. Step 3: Cross multiply
    8,321,297.80x = 12,481,946.70 × 6,809,643.40
  4. Step 4: Simplify right side
    8,321,297.80x = 84,997,605,964,806.78
  5. Step 5: Solve for x
    x = 84,997,605,964,806.78/8,321,297.80
  6. Step 6: Final answer
    x = 10,214,465.10

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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.