Finding the Fourth Proportional to 405,923.19, 560,175.09 and 224,647.62
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Solution
The fourth proportional to 405,923.19, 560,175.09 and 224,647.62 is: 310,014.32
Step by Step Solution
- Step 1: Write the proportion equation
405,923.19 : 560,175.09 = 224,647.62 : x - Step 2: Convert to fraction form
405,923.19/560,175.09 = 224,647.62/x - Step 3: Cross multiply
405,923.19x = 560,175.09 × 224,647.62 - Step 4: Simplify right side
405,923.19x = 125,841,999,701.46 - Step 5: Solve for x
x = 125,841,999,701.46/405,923.19 - Step 6: Final answer
x = 310,014.32
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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.