Finding the Fourth Proportional to 278,138.84, 383,839.15 and 157,298.20
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Solution
The fourth proportional to 278,138.84, 383,839.15 and 157,298.20 is: 217,075.79
Step by Step Solution
- Step 1: Write the proportion equation
278,138.84 : 383,839.15 = 157,298.20 : x - Step 2: Convert to fraction form
278,138.84/383,839.15 = 157,298.20/x - Step 3: Cross multiply
278,138.84x = 383,839.15 × 157,298.20 - Step 4: Simplify right side
278,138.84x = 60,377,207,384.53 - Step 5: Solve for x
x = 60,377,207,384.53/278,138.84 - Step 6: Final answer
x = 217,075.79
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.