Finding the Fourth Proportional to 764,599,311,659.77, 1,055,147,153,371.80 and 422,043,239,283.68
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Solution
The fourth proportional to 764,599,311,659.77, 1,055,147,153,371.80 and 422,043,239,283.68 is: 582,419,727,220.66
Step by Step Solution
- Step 1: Write the proportion equation
764,599,311,659.77 : 1,055,147,153,371.80 = 422,043,239,283.68 : x - Step 2: Convert to fraction form
764,599,311,659.77/1,055,147,153,371.80 = 422,043,239,283.68/x - Step 3: Cross multiply
764,599,311,659.77x = 1,055,147,153,371.80 × 422,043,239,283.68 - Step 4: Simplify right side
764,599,311,659.77x = 445,317,722,529,988,381,507,584 - Step 5: Solve for x
x = 445,317,722,529,988,381,507,584/764,599,311,659.77 - Step 6: Final answer
x = 582,419,727,220.66
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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.