Finding the Fourth Proportional to 4,048,137,148.70, 6,072,205,723.05 and 1,288,045,171.10
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Solution
The fourth proportional to 4,048,137,148.70, 6,072,205,723.05 and 1,288,045,171.10 is: 1,932,067,756.65
Step by Step Solution
- Step 1: Write the proportion equation
4,048,137,148.70 : 6,072,205,723.05 = 1,288,045,171.10 : x - Step 2: Convert to fraction form
4,048,137,148.70/6,072,205,723.05 = 1,288,045,171.10/x - Step 3: Cross multiply
4,048,137,148.70x = 6,072,205,723.05 × 1,288,045,171.10 - Step 4: Simplify right side
4,048,137,148.70x = 7,821,275,259,500,336,128 - Step 5: Solve for x
x = 7,821,275,259,500,336,128/4,048,137,148.70 - Step 6: Final answer
x = 1,932,067,756.65
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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.