Finding the Fourth Proportional to 304,512,125.88, 420,227,158.86 and 165,282,916.44
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Solution
The fourth proportional to 304,512,125.88, 420,227,158.86 and 165,282,916.44 is: 228,090,655.45
Step by Step Solution
- Step 1: Write the proportion equation
304,512,125.88 : 420,227,158.86 = 165,282,916.44 : x - Step 2: Convert to fraction form
304,512,125.88/420,227,158.86 = 165,282,916.44/x - Step 3: Cross multiply
304,512,125.88x = 420,227,158.86 × 165,282,916.44 - Step 4: Simplify right side
304,512,125.88x = 69,456,370,383,675,984 - Step 5: Solve for x
x = 69,456,370,383,675,984/304,512,125.88 - Step 6: Final answer
x = 228,090,655.45
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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.