Finding the Fourth Proportional to 784,203,228,178.70, 1,082,189,454,343.60 and 436,988,141,512.14
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Solution
The fourth proportional to 784,203,228,178.70, 1,082,189,454,343.60 and 436,988,141,512.14 is: 603,037,505,361.92
Step by Step Solution
- Step 1: Write the proportion equation
784,203,228,178.70 : 1,082,189,454,343.60 = 436,988,141,512.14 : x - Step 2: Convert to fraction form
784,203,228,178.70/1,082,189,454,343.60 = 436,988,141,512.14/x - Step 3: Cross multiply
784,203,228,178.70x = 1,082,189,454,343.60 × 436,988,141,512.14 - Step 4: Simplify right side
784,203,228,178.70x = 472,903,958,417,646,653,800,448 - Step 5: Solve for x
x = 472,903,958,417,646,653,800,448/784,203,228,178.70 - Step 6: Final answer
x = 603,037,505,361.92
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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.