Finding the Fourth Proportional to 256,199.42, 384,313.12 and 106,454.85
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Solution
The fourth proportional to 256,199.42, 384,313.12 and 106,454.85 is: 159,688.09
Step by Step Solution
- Step 1: Write the proportion equation
256,199.42 : 384,313.12 = 106,454.85 : x - Step 2: Convert to fraction form
256,199.42/384,313.12 = 106,454.85/x - Step 3: Cross multiply
256,199.42x = 384,313.12 × 106,454.85 - Step 4: Simplify right side
256,199.42x = 40,911,995,542.63 - Step 5: Solve for x
x = 40,911,995,542.63/256,199.42 - Step 6: Final answer
x = 159,688.09
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.