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Finding the Fourth Proportional to 800,809,366.80, 1,201,214,050.20 and 340,762,544.40

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Solution

The fourth proportional to 800,809,366.80, 1,201,214,050.20 and 340,762,544.40 is: 511,143,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,809,366.80 : 1,201,214,050.20 = 340,762,544.40 : x
  2. Step 2: Convert to fraction form
    800,809,366.80/1,201,214,050.20 = 340,762,544.40/x
  3. Step 3: Cross multiply
    800,809,366.80x = 1,201,214,050.20 × 340,762,544.40
  4. Step 4: Simplify right side
    800,809,366.80x = 409,328,756,115,181,312
  5. Step 5: Solve for x
    x = 409,328,756,115,181,312/800,809,366.80
  6. Step 6: Final answer
    x = 511,143,816.60

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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.