Finding the Fourth Proportional to 257,226.26, 354,955.10 and 142,497.18
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Solution
The fourth proportional to 257,226.26, 354,955.10 and 142,497.18 is: 196,636.61
Step by Step Solution
- Step 1: Write the proportion equation
257,226.26 : 354,955.10 = 142,497.18 : x - Step 2: Convert to fraction form
257,226.26/354,955.10 = 142,497.18/x - Step 3: Cross multiply
257,226.26x = 354,955.10 × 142,497.18 - Step 4: Simplify right side
257,226.26x = 50,580,100,064.13 - Step 5: Solve for x
x = 50,580,100,064.13/257,226.26 - Step 6: Final answer
x = 196,636.61
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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.