Finding the Fourth Proportional to 823,129,407.23, 1,234,936,654.61 and 331,589,735.62
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Solution
The fourth proportional to 823,129,407.23, 1,234,936,654.61 and 331,589,735.62 is: 497,482,309.85
Step by Step Solution
- Step 1: Write the proportion equation
823,129,407.23 : 1,234,936,654.61 = 331,589,735.62 : x - Step 2: Convert to fraction form
823,129,407.23/1,234,936,654.61 = 331,589,735.62/x - Step 3: Cross multiply
823,129,407.23x = 1,234,936,654.61 × 331,589,735.62 - Step 4: Simplify right side
823,129,407.23x = 409,492,318,810,890,752 - Step 5: Solve for x
x = 409,492,318,810,890,752/823,129,407.23 - Step 6: Final answer
x = 497,482,309.85
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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.