Finding the Fourth Proportional to 299,988.05, 413,983.54 and 164,022.09
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Solution
The fourth proportional to 299,988.05, 413,983.54 and 164,022.09 is: 226,350.50
Step by Step Solution
- Step 1: Write the proportion equation
299,988.05 : 413,983.54 = 164,022.09 : x - Step 2: Convert to fraction form
299,988.05/413,983.54 = 164,022.09/x - Step 3: Cross multiply
299,988.05x = 413,983.54 × 164,022.09 - Step 4: Simplify right side
299,988.05x = 67,902,444,831.50 - Step 5: Solve for x
x = 67,902,444,831.50/299,988.05 - Step 6: Final answer
x = 226,350.50
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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.