Finding the Fourth Proportional to 1,311,679,897.20, 1,967,864,782.56 and 471,407,509.44
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Solution
The fourth proportional to 1,311,679,897.20, 1,967,864,782.56 and 471,407,509.44 is: 707,235,231.74
Step by Step Solution
- Step 1: Write the proportion equation
1,311,679,897.20 : 1,967,864,782.56 = 471,407,509.44 : x - Step 2: Convert to fraction form
1,311,679,897.20/1,967,864,782.56 = 471,407,509.44/x - Step 3: Cross multiply
1,311,679,897.20x = 1,967,864,782.56 × 471,407,509.44 - Step 4: Simplify right side
1,311,679,897.20x = 927,666,236,061,296,768 - Step 5: Solve for x
x = 927,666,236,061,296,768/1,311,679,897.20 - Step 6: Final answer
x = 707,235,231.74
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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.