Finding the Fourth Proportional to 1,152,136,825.80, 1,728,209,722.36 and 278,736,792.74
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Solution
The fourth proportional to 1,152,136,825.80, 1,728,209,722.36 and 278,736,792.74 is: 418,106,273.84
Step by Step Solution
- Step 1: Write the proportion equation
1,152,136,825.80 : 1,728,209,722.36 = 278,736,792.74 : x - Step 2: Convert to fraction form
1,152,136,825.80/1,728,209,722.36 = 278,736,792.74/x - Step 3: Cross multiply
1,152,136,825.80x = 1,728,209,722.36 × 278,736,792.74 - Step 4: Simplify right side
1,152,136,825.80x = 481,715,635,192,712,256 - Step 5: Solve for x
x = 481,715,635,192,712,256/1,152,136,825.80 - Step 6: Final answer
x = 418,106,273.84
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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.