Finding the Fourth Proportional to 495,412,917.80, 743,119,376.70 and 204,130,105.70
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Solution
The fourth proportional to 495,412,917.80, 743,119,376.70 and 204,130,105.70 is: 306,195,158.55
Step by Step Solution
- Step 1: Write the proportion equation
495,412,917.80 : 743,119,376.70 = 204,130,105.70 : x - Step 2: Convert to fraction form
495,412,917.80/743,119,376.70 = 204,130,105.70/x - Step 3: Cross multiply
495,412,917.80x = 743,119,376.70 × 204,130,105.70 - Step 4: Simplify right side
495,412,917.80x = 151,693,036,913,489,120 - Step 5: Solve for x
x = 151,693,036,913,489,120/495,412,917.80 - Step 6: Final answer
x = 306,195,158.55
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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.