Finding the Fourth Proportional to 286,786.26, 430,178.61 and 106,867.59
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Solution
The fourth proportional to 286,786.26, 430,178.61 and 106,867.59 is: 160,301.09
Step by Step Solution
- Step 1: Write the proportion equation
286,786.26 : 430,178.61 = 106,867.59 : x - Step 2: Convert to fraction form
286,786.26/430,178.61 = 106,867.59/x - Step 3: Cross multiply
286,786.26x = 430,178.61 × 106,867.59 - Step 4: Simplify right side
286,786.26x = 45,972,149,707.08 - Step 5: Solve for x
x = 45,972,149,707.08/286,786.26 - Step 6: Final answer
x = 160,301.09
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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.