Finding the Fourth Proportional to 257,140.63, 354,846.22 and 142,414.71
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Solution
The fourth proportional to 257,140.63, 354,846.22 and 142,414.71 is: 196,527.95
Step by Step Solution
- Step 1: Write the proportion equation
257,140.63 : 354,846.22 = 142,414.71 : x - Step 2: Convert to fraction form
257,140.63/354,846.22 = 142,414.71/x - Step 3: Cross multiply
257,140.63x = 354,846.22 × 142,414.71 - Step 4: Simplify right side
257,140.63x = 50,535,319,829.19 - Step 5: Solve for x
x = 50,535,319,829.19/257,140.63 - Step 6: Final answer
x = 196,527.95
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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.