Finding the Fourth Proportional to 278,118.77, 383,811.99 and 157,257.42
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Solution
The fourth proportional to 278,118.77, 383,811.99 and 157,257.42 is: 217,019.81
Step by Step Solution
- Step 1: Write the proportion equation
278,118.77 : 383,811.99 = 157,257.42 : x - Step 2: Convert to fraction form
278,118.77/383,811.99 = 157,257.42/x - Step 3: Cross multiply
278,118.77x = 383,811.99 × 157,257.42 - Step 4: Simplify right side
278,118.77x = 60,357,281,283.46 - Step 5: Solve for x
x = 60,357,281,283.46/278,118.77 - Step 6: Final answer
x = 217,019.81
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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.