Finding the Fourth Proportional to 313,909.92, 471,160.80 and 114,423.12
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Solution
The fourth proportional to 313,909.92, 471,160.80 and 114,423.12 is: 171,742.55
Step by Step Solution
- Step 1: Write the proportion equation
313,909.92 : 471,160.80 = 114,423.12 : x - Step 2: Convert to fraction form
313,909.92/471,160.80 = 114,423.12/x - Step 3: Cross multiply
313,909.92x = 471,160.80 × 114,423.12 - Step 4: Simplify right side
313,909.92x = 53,911,688,757.70 - Step 5: Solve for x
x = 53,911,688,757.70/313,909.92 - Step 6: Final answer
x = 171,742.55
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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.