Finding the Fourth Proportional to 523,894.42, 785,846.49 and 208,431.82
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Solution
The fourth proportional to 523,894.42, 785,846.49 and 208,431.82 is: 312,649.66
Step by Step Solution
- Step 1: Write the proportion equation
523,894.42 : 785,846.49 = 208,431.82 : x - Step 2: Convert to fraction form
523,894.42/785,846.49 = 208,431.82/x - Step 3: Cross multiply
523,894.42x = 785,846.49 × 208,431.82 - Step 4: Simplify right side
523,894.42x = 163,795,414,151.31 - Step 5: Solve for x
x = 163,795,414,151.31/523,894.42 - Step 6: Final answer
x = 312,649.66
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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.