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Finding the Fourth Proportional to 869,863,502.25, 1,200,664,584.75 and 568,494,149.84

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Solution

The fourth proportional to 869,863,502.25, 1,200,664,584.75 and 568,494,149.84 is: 784,687,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,863,502.25 : 1,200,664,584.75 = 568,494,149.84 : x
  2. Step 2: Convert to fraction form
    869,863,502.25/1,200,664,584.75 = 568,494,149.84/x
  3. Step 3: Cross multiply
    869,863,502.25x = 1,200,664,584.75 × 568,494,149.84
  4. Step 4: Simplify right side
    869,863,502.25x = 682,570,792,344,444,544
  5. Step 5: Solve for x
    x = 682,570,792,344,444,544/869,863,502.25
  6. Step 6: Final answer
    x = 784,687,241.82

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.