Finding the Fourth Proportional to 1,471,905.96, 2,031,287.81 and 827,324.16
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Solution
The fourth proportional to 1,471,905.96, 2,031,287.81 and 827,324.16 is: 1,141,739.71
Step by Step Solution
- Step 1: Write the proportion equation
1,471,905.96 : 2,031,287.81 = 827,324.16 : x - Step 2: Convert to fraction form
1,471,905.96/2,031,287.81 = 827,324.16/x - Step 3: Cross multiply
1,471,905.96x = 2,031,287.81 × 827,324.16 - Step 4: Simplify right side
1,471,905.96x = 1,680,533,476,989.87 - Step 5: Solve for x
x = 1,680,533,476,989.87/1,471,905.96 - Step 6: Final answer
x = 1,141,739.71
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.