Finding the Fourth Proportional to 1,977,076,737.12, 2,728,185,577.20 and 1,173,165,715.68
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Solution
The fourth proportional to 1,977,076,737.12, 2,728,185,577.20 and 1,173,165,715.68 is: 1,618,861,688.62
Step by Step Solution
- Step 1: Write the proportion equation
1,977,076,737.12 : 2,728,185,577.20 = 1,173,165,715.68 : x - Step 2: Convert to fraction form
1,977,076,737.12/2,728,185,577.20 = 1,173,165,715.68/x - Step 3: Cross multiply
1,977,076,737.12x = 2,728,185,577.20 × 1,173,165,715.68 - Step 4: Simplify right side
1,977,076,737.12x = 3,200,613,785,183,691,776 - Step 5: Solve for x
x = 3,200,613,785,183,691,776/1,977,076,737.12 - Step 6: Final answer
x = 1,618,861,688.62
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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.