Finding the Fourth Proportional to 300,117,660.75, 414,162,371.84 and 162,762,396.75
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Solution
The fourth proportional to 300,117,660.75, 414,162,371.84 and 162,762,396.75 is: 224,612,107.52
Step by Step Solution
- Step 1: Write the proportion equation
300,117,660.75 : 414,162,371.84 = 162,762,396.75 : x - Step 2: Convert to fraction form
300,117,660.75/414,162,371.84 = 162,762,396.75/x - Step 3: Cross multiply
300,117,660.75x = 414,162,371.84 × 162,762,396.75 - Step 4: Simplify right side
300,117,660.75x = 67,410,060,283,529,296 - Step 5: Solve for x
x = 67,410,060,283,529,296/300,117,660.75 - Step 6: Final answer
x = 224,612,107.52
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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.