Finding the Fourth Proportional to 819,106.24, 1,229,212.95 and 286,631.95
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Solution
The fourth proportional to 819,106.24, 1,229,212.95 and 286,631.95 is: 430,141.64
Step by Step Solution
- Step 1: Write the proportion equation
819,106.24 : 1,229,212.95 = 286,631.95 : x - Step 2: Convert to fraction form
819,106.24/1,229,212.95 = 286,631.95/x - Step 3: Cross multiply
819,106.24x = 1,229,212.95 × 286,631.95 - Step 4: Simplify right side
819,106.24x = 352,331,704,823.75 - Step 5: Solve for x
x = 352,331,704,823.75/819,106.24 - Step 6: Final answer
x = 430,141.64
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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.