Finding the Fourth Proportional to 414,814,494.16, 572,437,230.08 and 226,638,738.38
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Solution
The fourth proportional to 414,814,494.16, 572,437,230.08 and 226,638,738.38 is: 312,757,759.08
Step by Step Solution
- Step 1: Write the proportion equation
414,814,494.16 : 572,437,230.08 = 226,638,738.38 : x - Step 2: Convert to fraction form
414,814,494.16/572,437,230.08 = 226,638,738.38/x - Step 3: Cross multiply
414,814,494.16x = 572,437,230.08 × 226,638,738.38 - Step 4: Simplify right side
414,814,494.16x = 129,736,451,627,370,896 - Step 5: Solve for x
x = 129,736,451,627,370,896/414,814,494.16 - Step 6: Final answer
x = 312,757,759.08
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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.