Finding the Fourth Proportional to 242,784,207.40, 364,176,311.10 and 214,724,122.60
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Solution
The fourth proportional to 242,784,207.40, 364,176,311.10 and 214,724,122.60 is: 322,086,183.90
Step by Step Solution
- Step 1: Write the proportion equation
242,784,207.40 : 364,176,311.10 = 214,724,122.60 : x - Step 2: Convert to fraction form
242,784,207.40/364,176,311.10 = 214,724,122.60/x - Step 3: Cross multiply
242,784,207.40x = 364,176,311.10 × 214,724,122.60 - Step 4: Simplify right side
242,784,207.40x = 78,197,438,872,652,144 - Step 5: Solve for x
x = 78,197,438,872,652,144/242,784,207.40 - Step 6: Final answer
x = 322,086,183.90
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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.