Finding the Fourth Proportional to 314,423.20, 471,202.80 and 201,757.60
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Solution
The fourth proportional to 314,423.20, 471,202.80 and 201,757.60 is: 302,359.20
Step by Step Solution
- Step 1: Write the proportion equation
314,423.20 : 471,202.80 = 201,757.60 : x - Step 2: Convert to fraction form
314,423.20/471,202.80 = 201,757.60/x - Step 3: Cross multiply
314,423.20x = 471,202.80 × 201,757.60 - Step 4: Simplify right side
314,423.20x = 95,068,746,041.28 - Step 5: Solve for x
x = 95,068,746,041.28/314,423.20 - Step 6: Final answer
x = 302,359.20
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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.