Finding the Fourth Proportional to 823,129,408.23, 1,234,936,656.11 and 331,589,736.62
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Solution
The fourth proportional to 823,129,408.23, 1,234,936,656.11 and 331,589,736.62 is: 497,482,311.34
Step by Step Solution
- Step 1: Write the proportion equation
823,129,408.23 : 1,234,936,656.11 = 331,589,736.62 : x - Step 2: Convert to fraction form
823,129,408.23/1,234,936,656.11 = 331,589,736.62/x - Step 3: Cross multiply
823,129,408.23x = 1,234,936,656.11 × 331,589,736.62 - Step 4: Simplify right side
823,129,408.23x = 409,492,320,541,898,368 - Step 5: Solve for x
x = 409,492,320,541,898,368/823,129,408.23 - Step 6: Final answer
x = 497,482,311.34
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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.