Finding the Fourth Proportional to 275,180,159.79, 412,770,238.99 and 100,316,307.85
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Solution
The fourth proportional to 275,180,159.79, 412,770,238.99 and 100,316,307.85 is: 150,474,461.52
Step by Step Solution
- Step 1: Write the proportion equation
275,180,159.79 : 412,770,238.99 = 100,316,307.85 : x - Step 2: Convert to fraction form
275,180,159.79/412,770,238.99 = 100,316,307.85/x - Step 3: Cross multiply
275,180,159.79x = 412,770,238.99 × 100,316,307.85 - Step 4: Simplify right side
275,180,159.79x = 41,407,586,365,057,776 - Step 5: Solve for x
x = 41,407,586,365,057,776/275,180,159.79 - Step 6: Final answer
x = 150,474,461.52
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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.