Finding the Fourth Proportional to 278,277.55, 384,023.14 and 157,416.26
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Solution
The fourth proportional to 278,277.55, 384,023.14 and 157,416.26 is: 217,234.50
Step by Step Solution
- Step 1: Write the proportion equation
278,277.55 : 384,023.14 = 157,416.26 : x - Step 2: Convert to fraction form
278,277.55/384,023.14 = 157,416.26/x - Step 3: Cross multiply
278,277.55x = 384,023.14 × 157,416.26 - Step 4: Simplify right side
278,277.55x = 60,451,484,138.60 - Step 5: Solve for x
x = 60,451,484,138.60/278,277.55 - Step 6: Final answer
x = 217,234.50
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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.