Finding the Fourth Proportional to 417,742.24, 576,484.64 and 226,755.52
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Solution
The fourth proportional to 417,742.24, 576,484.64 and 226,755.52 is: 312,922.81
Step by Step Solution
- Step 1: Write the proportion equation
417,742.24 : 576,484.64 = 226,755.52 : x - Step 2: Convert to fraction form
417,742.24/576,484.64 = 226,755.52/x - Step 3: Cross multiply
417,742.24x = 576,484.64 × 226,755.52 - Step 4: Simplify right side
417,742.24x = 130,721,074,315.21 - Step 5: Solve for x
x = 130,721,074,315.21/417,742.24 - Step 6: Final answer
x = 312,922.81
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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.