Finding the Fourth Proportional to 454,430,469,620.70, 681,645,704,431.05 and 206,277,283,316.70
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Solution
The fourth proportional to 454,430,469,620.70, 681,645,704,431.05 and 206,277,283,316.70 is: 309,415,924,975.05
Step by Step Solution
- Step 1: Write the proportion equation
454,430,469,620.70 : 681,645,704,431.05 = 206,277,283,316.70 : x - Step 2: Convert to fraction form
454,430,469,620.70/681,645,704,431.05 = 206,277,283,316.70/x - Step 3: Cross multiply
454,430,469,620.70x = 681,645,704,431.05 × 206,277,283,316.70 - Step 4: Simplify right side
454,430,469,620.70x = 140,608,024,094,535,273,414,656 - Step 5: Solve for x
x = 140,608,024,094,535,273,414,656/454,430,469,620.70 - Step 6: Final answer
x = 309,415,924,975.05
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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.