Finding the Fourth Proportional to 399,471,398,760.76, 551,330,218,866.36 and 314,471,989,175.02
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Solution
The fourth proportional to 399,471,398,760.76, 551,330,218,866.36 and 314,471,989,175.02 is: 434,018,333,119.86
Step by Step Solution
- Step 1: Write the proportion equation
399,471,398,760.76 : 551,330,218,866.36 = 314,471,989,175.02 : x - Step 2: Convert to fraction form
399,471,398,760.76/551,330,218,866.36 = 314,471,989,175.02/x - Step 3: Cross multiply
399,471,398,760.76x = 551,330,218,866.36 × 314,471,989,175.02 - Step 4: Simplify right side
399,471,398,760.76x = 173,377,910,619,203,388,309,504 - Step 5: Solve for x
x = 173,377,910,619,203,388,309,504/399,471,398,760.76 - Step 6: Final answer
x = 434,018,333,119.86
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.