Finding the Fourth Proportional to 413,719.21, 620,614.44 and 114,199.84
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Solution
The fourth proportional to 413,719.21, 620,614.44 and 114,199.84 is: 171,309.59
Step by Step Solution
- Step 1: Write the proportion equation
413,719.21 : 620,614.44 = 114,199.84 : x - Step 2: Convert to fraction form
413,719.21/620,614.44 = 114,199.84/x - Step 3: Cross multiply
413,719.21x = 620,614.44 × 114,199.84 - Step 4: Simplify right side
413,719.21x = 70,874,069,749.69 - Step 5: Solve for x
x = 70,874,069,749.69/413,719.21 - Step 6: Final answer
x = 171,309.59
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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.