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Finding the Fourth Proportional to 722,969,997.39, 997,719,642.33 and 409,693,794.75

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Solution

The fourth proportional to 722,969,997.39, 997,719,642.33 and 409,693,794.75 is: 565,389,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,969,997.39 : 997,719,642.33 = 409,693,794.75 : x
  2. Step 2: Convert to fraction form
    722,969,997.39/997,719,642.33 = 409,693,794.75/x
  3. Step 3: Cross multiply
    722,969,997.39x = 997,719,642.33 × 409,693,794.75
  4. Step 4: Simplify right side
    722,969,997.39x = 408,759,546,362,790,464
  5. Step 5: Solve for x
    x = 408,759,546,362,790,464/722,969,997.39
  6. Step 6: Final answer
    x = 565,389,363.10

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Double scale
Find fourth proportional to 722,969,998.39, 997,719,643.71 and 409,693,795.75
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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.