Finding the Fourth Proportional to 805,305,201.44, 1,207,576,146.24 and 280,491,269.28
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Solution
The fourth proportional to 805,305,201.44, 1,207,576,146.24 and 280,491,269.28 is: 420,603,971.52
Step by Step Solution
- Step 1: Write the proportion equation
805,305,201.44 : 1,207,576,146.24 = 280,491,269.28 : x - Step 2: Convert to fraction form
805,305,201.44/1,207,576,146.24 = 280,491,269.28/x - Step 3: Cross multiply
805,305,201.44x = 1,207,576,146.24 × 280,491,269.28 - Step 4: Simplify right side
805,305,201.44x = 338,714,566,011,108,480 - Step 5: Solve for x
x = 338,714,566,011,108,480/805,305,201.44 - Step 6: Final answer
x = 420,603,971.52
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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.