Finding the Fourth Proportional to 284,653,829.20, 427,050,727.80 and 80,179,243.60
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Solution
The fourth proportional to 284,653,829.20, 427,050,727.80 and 80,179,243.60 is: 120,288,577.99
Step by Step Solution
- Step 1: Write the proportion equation
284,653,829.20 : 427,050,727.80 = 80,179,243.60 : x - Step 2: Convert to fraction form
284,653,829.20/427,050,727.80 = 80,179,243.60/x - Step 3: Cross multiply
284,653,829.20x = 427,050,727.80 × 80,179,243.60 - Step 4: Simplify right side
284,653,829.20x = 34,240,604,333,833,492 - Step 5: Solve for x
x = 34,240,604,333,833,492/284,653,829.20 - Step 6: Final answer
x = 120,288,577.99
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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.