Finding the Fourth Proportional to 945,133,069.10, 1,415,432,122.05 and 459,892,006.70
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Solution
The fourth proportional to 945,133,069.10, 1,415,432,122.05 and 459,892,006.70 is: 688,734,676.88
Step by Step Solution
- Step 1: Write the proportion equation
945,133,069.10 : 1,415,432,122.05 = 459,892,006.70 : x - Step 2: Convert to fraction form
945,133,069.10/1,415,432,122.05 = 459,892,006.70/x - Step 3: Cross multiply
945,133,069.10x = 1,415,432,122.05 × 459,892,006.70 - Step 4: Simplify right side
945,133,069.10x = 650,945,918,957,213,824 - Step 5: Solve for x
x = 650,945,918,957,213,824/945,133,069.10 - Step 6: Final answer
x = 688,734,676.88
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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.