Finding the Fourth Proportional to 1,449,733,844.40, 2,174,726,029.14 and 400,471,680.96
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Solution
The fourth proportional to 1,449,733,844.40, 2,174,726,029.14 and 400,471,680.96 is: 600,742,123.72
Step by Step Solution
- Step 1: Write the proportion equation
1,449,733,844.40 : 2,174,726,029.14 = 400,471,680.96 : x - Step 2: Convert to fraction form
1,449,733,844.40/2,174,726,029.14 = 400,471,680.96/x - Step 3: Cross multiply
1,449,733,844.40x = 2,174,726,029.14 × 400,471,680.96 - Step 4: Simplify right side
1,449,733,844.40x = 870,916,188,517,161,600 - Step 5: Solve for x
x = 870,916,188,517,161,600/1,449,733,844.40 - Step 6: Final answer
x = 600,742,123.72
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.