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Finding the Fourth Proportional to 806,809,939.20, 1,210,214,908.80 and 800,763,321.60

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Solution

The fourth proportional to 806,809,939.20, 1,210,214,908.80 and 800,763,321.60 is: 1,201,144,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,809,939.20 : 1,210,214,908.80 = 800,763,321.60 : x
  2. Step 2: Convert to fraction form
    806,809,939.20/1,210,214,908.80 = 800,763,321.60/x
  3. Step 3: Cross multiply
    806,809,939.20x = 1,210,214,908.80 × 800,763,321.60
  4. Step 4: Simplify right side
    806,809,939.20x = 969,095,710,220,529,024
  5. Step 5: Solve for x
    x = 969,095,710,220,529,024/806,809,939.20
  6. Step 6: Final answer
    x = 1,201,144,982.40

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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.