Finding the Fourth Proportional to 278,567,424,145.80, 417,851,136,218.70 and 69,188,173,201.80
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Solution
The fourth proportional to 278,567,424,145.80, 417,851,136,218.70 and 69,188,173,201.80 is: 103,782,259,802.70
Step by Step Solution
- Step 1: Write the proportion equation
278,567,424,145.80 : 417,851,136,218.70 = 69,188,173,201.80 : x - Step 2: Convert to fraction form
278,567,424,145.80/417,851,136,218.70 = 69,188,173,201.80/x - Step 3: Cross multiply
278,567,424,145.80x = 417,851,136,218.70 × 69,188,173,201.80 - Step 4: Simplify right side
278,567,424,145.80x = 28,910,356,785,268,344,750,080 - Step 5: Solve for x
x = 28,910,356,785,268,344,750,080/278,567,424,145.80 - Step 6: Final answer
x = 103,782,259,802.70
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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.