Finding the Fourth Proportional to 413,658.14, 620,197.74 and 211,316.90
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Solution
The fourth proportional to 413,658.14, 620,197.74 and 211,316.90 is: 316,827.47
Step by Step Solution
- Step 1: Write the proportion equation
413,658.14 : 620,197.74 = 211,316.90 : x - Step 2: Convert to fraction form
413,658.14/620,197.74 = 211,316.90/x - Step 3: Cross multiply
413,658.14x = 620,197.74 × 211,316.90 - Step 4: Simplify right side
413,658.14x = 131,058,263,803.81 - Step 5: Solve for x
x = 131,058,263,803.81/413,658.14 - Step 6: Final answer
x = 316,827.47
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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.