Finding the Fourth Proportional to 290,379,625,491.42, 400,725,128,995.70 and 158,394,851,213.24
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Solution
The fourth proportional to 290,379,625,491.42, 400,725,128,995.70 and 158,394,851,213.24 is: 218,585,574,236.70
Step by Step Solution
- Step 1: Write the proportion equation
290,379,625,491.42 : 400,725,128,995.70 = 158,394,851,213.24 : x - Step 2: Convert to fraction form
290,379,625,491.42/400,725,128,995.70 = 158,394,851,213.24/x - Step 3: Cross multiply
290,379,625,491.42x = 400,725,128,995.70 × 158,394,851,213.24 - Step 4: Simplify right side
290,379,625,491.42x = 63,472,797,184,680,309,817,344 - Step 5: Solve for x
x = 63,472,797,184,680,309,817,344/290,379,625,491.42 - Step 6: Final answer
x = 218,585,574,236.70
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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.