Finding the Fourth Proportional to 259,829.09, 358,908.40 and 209,033.14
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Solution
The fourth proportional to 259,829.09, 358,908.40 and 209,033.14 is: 288,742.69
Step by Step Solution
- Step 1: Write the proportion equation
259,829.09 : 358,908.40 = 209,033.14 : x - Step 2: Convert to fraction form
259,829.09/358,908.40 = 209,033.14/x - Step 3: Cross multiply
259,829.09x = 358,908.40 × 209,033.14 - Step 4: Simplify right side
259,829.09x = 75,023,749,824.38 - Step 5: Solve for x
x = 75,023,749,824.38/259,829.09 - Step 6: Final answer
x = 288,742.69
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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.