Finding the Fourth Proportional to 273,255,445.87, 409,883,153.24 and 76,547,982.54
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Solution
The fourth proportional to 273,255,445.87, 409,883,153.24 and 76,547,982.54 is: 114,821,969.45
Step by Step Solution
- Step 1: Write the proportion equation
273,255,445.87 : 409,883,153.24 = 76,547,982.54 : x - Step 2: Convert to fraction form
273,255,445.87/409,883,153.24 = 76,547,982.54/x - Step 3: Cross multiply
273,255,445.87x = 409,883,153.24 × 76,547,982.54 - Step 4: Simplify right side
273,255,445.87x = 31,375,728,457,078,500 - Step 5: Solve for x
x = 31,375,728,457,078,500/273,255,445.87 - Step 6: Final answer
x = 114,821,969.45
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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.