Finding the Fourth Proportional to 208,224,136.80, 312,336,205.20 and 106,187,464.80
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Solution
The fourth proportional to 208,224,136.80, 312,336,205.20 and 106,187,464.80 is: 159,281,197.20
Step by Step Solution
- Step 1: Write the proportion equation
208,224,136.80 : 312,336,205.20 = 106,187,464.80 : x - Step 2: Convert to fraction form
208,224,136.80/312,336,205.20 = 106,187,464.80/x - Step 3: Cross multiply
208,224,136.80x = 312,336,205.20 × 106,187,464.80 - Step 4: Simplify right side
208,224,136.80x = 33,166,189,795,440,576 - Step 5: Solve for x
x = 33,166,189,795,440,576/208,224,136.80 - Step 6: Final answer
x = 159,281,197.20
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.