Finding the Fourth Proportional to 284,439,228.24, 392,557,990.77 and 160,687,876.98
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Solution
The fourth proportional to 284,439,228.24, 392,557,990.77 and 160,687,876.98 is: 221,767,266.49
Step by Step Solution
- Step 1: Write the proportion equation
284,439,228.24 : 392,557,990.77 = 160,687,876.98 : x - Step 2: Convert to fraction form
284,439,228.24/392,557,990.77 = 160,687,876.98/x - Step 3: Cross multiply
284,439,228.24x = 392,557,990.77 × 160,687,876.98 - Step 4: Simplify right side
284,439,228.24x = 63,079,310,128,365,728 - Step 5: Solve for x
x = 63,079,310,128,365,728/284,439,228.24 - Step 6: Final answer
x = 221,767,266.49
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.