Finding the Fourth Proportional to 413,107.63, 619,723.86 and 146,804.84
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Solution
The fourth proportional to 413,107.63, 619,723.86 and 146,804.84 is: 220,229.44
Step by Step Solution
- Step 1: Write the proportion equation
413,107.63 : 619,723.86 = 146,804.84 : x - Step 2: Convert to fraction form
413,107.63/619,723.86 = 146,804.84/x - Step 3: Cross multiply
413,107.63x = 619,723.86 × 146,804.84 - Step 4: Simplify right side
413,107.63x = 90,978,461,612.09 - Step 5: Solve for x
x = 90,978,461,612.09/413,107.63 - Step 6: Final answer
x = 220,229.44
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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.