Finding the Fourth Proportional to 1,577,932,135.20, 2,366,898,202.80 and 413,398,375.20
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Solution
The fourth proportional to 1,577,932,135.20, 2,366,898,202.80 and 413,398,375.20 is: 620,097,562.80
Step by Step Solution
- Step 1: Write the proportion equation
1,577,932,135.20 : 2,366,898,202.80 = 413,398,375.20 : x - Step 2: Convert to fraction form
1,577,932,135.20/2,366,898,202.80 = 413,398,375.20/x - Step 3: Cross multiply
1,577,932,135.20x = 2,366,898,202.80 × 413,398,375.20 - Step 4: Simplify right side
1,577,932,135.20x = 978,471,871,301,320,192 - Step 5: Solve for x
x = 978,471,871,301,320,192/1,577,932,135.20 - Step 6: Final answer
x = 620,097,562.80
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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.