Finding the Fourth Proportional to 405,923.28, 560,160.34 and 224,642.84
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Solution
The fourth proportional to 405,923.28, 560,160.34 and 224,642.84 is: 309,999.49
Step by Step Solution
- Step 1: Write the proportion equation
405,923.28 : 560,160.34 = 224,642.84 : x - Step 2: Convert to fraction form
405,923.28/560,160.34 = 224,642.84/x - Step 3: Cross multiply
405,923.28x = 560,160.34 × 224,642.84 - Step 4: Simplify right side
405,923.28x = 125,836,009,632.97 - Step 5: Solve for x
x = 125,836,009,632.97/405,923.28 - Step 6: Final answer
x = 309,999.49
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1.5x scale
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.