Finding the Fourth Proportional to 1,609,632,147.30, 2,414,448,220.95 and 997,412,115.30
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Solution
The fourth proportional to 1,609,632,147.30, 2,414,448,220.95 and 997,412,115.30 is: 1,496,118,172.95
Step by Step Solution
- Step 1: Write the proportion equation
1,609,632,147.30 : 2,414,448,220.95 = 997,412,115.30 : x - Step 2: Convert to fraction form
1,609,632,147.30/2,414,448,220.95 = 997,412,115.30/x - Step 3: Cross multiply
1,609,632,147.30x = 2,414,448,220.95 × 997,412,115.30 - Step 4: Simplify right side
1,609,632,147.30x = 2,408,199,907,340,061,184 - Step 5: Solve for x
x = 2,408,199,907,340,061,184/1,609,632,147.30 - Step 6: Final answer
x = 1,496,118,172.95
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Double scale
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Similar ratio
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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.