Finding the Fourth Proportional to 731,105.58, 1,096,298.70 and 257,722.14
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Solution
The fourth proportional to 731,105.58, 1,096,298.70 and 257,722.14 is: 386,456.42
Step by Step Solution
- Step 1: Write the proportion equation
731,105.58 : 1,096,298.70 = 257,722.14 : x - Step 2: Convert to fraction form
731,105.58/1,096,298.70 = 257,722.14/x - Step 3: Cross multiply
731,105.58x = 1,096,298.70 × 257,722.14 - Step 4: Simplify right side
731,105.58x = 282,540,447,043.22 - Step 5: Solve for x
x = 282,540,447,043.22/731,105.58 - Step 6: Final answer
x = 386,456.42
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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.