Finding the Fourth Proportional to 280,509,403.76, 420,764,107.20 and 76,037,478.08
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Solution
The fourth proportional to 280,509,403.76, 420,764,107.20 and 76,037,478.08 is: 114,056,217.54
Step by Step Solution
- Step 1: Write the proportion equation
280,509,403.76 : 420,764,107.20 = 76,037,478.08 : x - Step 2: Convert to fraction form
280,509,403.76/420,764,107.20 = 76,037,478.08/x - Step 3: Cross multiply
280,509,403.76x = 420,764,107.20 × 76,037,478.08 - Step 4: Simplify right side
280,509,403.76x = 31,993,841,578,070,768 - Step 5: Solve for x
x = 31,993,841,578,070,768/280,509,403.76 - Step 6: Final answer
x = 114,056,217.54
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.