Finding the Fourth Proportional to 1,529,891,231.40, 2,289,546,056.70 and 916,915,372.20
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Solution
The fourth proportional to 1,529,891,231.40, 2,289,546,056.70 and 916,915,372.20 is: 1,372,202,109.31
Step by Step Solution
- Step 1: Write the proportion equation
1,529,891,231.40 : 2,289,546,056.70 = 916,915,372.20 : x - Step 2: Convert to fraction form
1,529,891,231.40/2,289,546,056.70 = 916,915,372.20/x - Step 3: Cross multiply
1,529,891,231.40x = 2,289,546,056.70 × 916,915,372.20 - Step 4: Simplify right side
1,529,891,231.40x = 2,099,319,974,748,122,624 - Step 5: Solve for x
x = 2,099,319,974,748,122,624/1,529,891,231.40 - Step 6: Final answer
x = 1,372,202,109.31
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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.