Finding the Fourth Proportional to 416,283.26, 574,470.91 and 225,296.65
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Solution
The fourth proportional to 416,283.26, 574,470.91 and 225,296.65 is: 310,909.38
Step by Step Solution
- Step 1: Write the proportion equation
416,283.26 : 574,470.91 = 225,296.65 : x - Step 2: Convert to fraction form
416,283.26/574,470.91 = 225,296.65/x - Step 3: Cross multiply
416,283.26x = 574,470.91 × 225,296.65 - Step 4: Simplify right side
416,283.26x = 129,426,372,719.36 - Step 5: Solve for x
x = 129,426,372,719.36/416,283.26 - Step 6: Final answer
x = 310,909.38
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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.