Finding the Fourth Proportional to 422,014.63, 633,019.21 and 106,471.84
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Solution
The fourth proportional to 422,014.63, 633,019.21 and 106,471.84 is: 159,707.07
Step by Step Solution
- Step 1: Write the proportion equation
422,014.63 : 633,019.21 = 106,471.84 : x - Step 2: Convert to fraction form
422,014.63/633,019.21 = 106,471.84/x - Step 3: Cross multiply
422,014.63x = 633,019.21 × 106,471.84 - Step 4: Simplify right side
422,014.63x = 67,398,720,044.05 - Step 5: Solve for x
x = 67,398,720,044.05/422,014.63 - Step 6: Final answer
x = 159,707.07
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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.