Finding the Fourth Proportional to 255,438.12, 383,156.10 and 77,944.53
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Solution
The fourth proportional to 255,438.12, 383,156.10 and 77,944.53 is: 116,916.47
Step by Step Solution
- Step 1: Write the proportion equation
255,438.12 : 383,156.10 = 77,944.53 : x - Step 2: Convert to fraction form
255,438.12/383,156.10 = 77,944.53/x - Step 3: Cross multiply
255,438.12x = 383,156.10 × 77,944.53 - Step 4: Simplify right side
255,438.12x = 29,864,922,131.13 - Step 5: Solve for x
x = 29,864,922,131.13/255,438.12 - Step 6: Final answer
x = 116,916.47
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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.