Finding the Fourth Proportional to 1,103,211,861.84, 1,522,449,249.48 and 601,420,983.12
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Solution
The fourth proportional to 1,103,211,861.84, 1,522,449,249.48 and 601,420,983.12 is: 829,970,158.99
Step by Step Solution
- Step 1: Write the proportion equation
1,103,211,861.84 : 1,522,449,249.48 = 601,420,983.12 : x - Step 2: Convert to fraction form
1,103,211,861.84/1,522,449,249.48 = 601,420,983.12/x - Step 3: Cross multiply
1,103,211,861.84x = 1,522,449,249.48 × 601,420,983.12 - Step 4: Simplify right side
1,103,211,861.84x = 915,632,924,372,567,808 - Step 5: Solve for x
x = 915,632,924,372,567,808/1,103,211,861.84 - Step 6: Final answer
x = 829,970,158.99
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.