Finding the Fourth Proportional to 830,775.89, 1,246,163.74 and 199,689.71
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Solution
The fourth proportional to 830,775.89, 1,246,163.74 and 199,689.71 is: 299,534.53
Step by Step Solution
- Step 1: Write the proportion equation
830,775.89 : 1,246,163.74 = 199,689.71 : x - Step 2: Convert to fraction form
830,775.89/1,246,163.74 = 199,689.71/x - Step 3: Cross multiply
830,775.89x = 1,246,163.74 × 199,689.71 - Step 4: Simplify right side
830,775.89x = 248,846,069,123.07 - Step 5: Solve for x
x = 248,846,069,123.07/830,775.89 - Step 6: Final answer
x = 299,534.53
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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.