Finding the Fourth Proportional to 282,248,943.24, 423,297,832.11 and 77,728,401.48
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Solution
The fourth proportional to 282,248,943.24, 423,297,832.11 and 77,728,401.48 is: 116,571,787.52
Step by Step Solution
- Step 1: Write the proportion equation
282,248,943.24 : 423,297,832.11 = 77,728,401.48 : x - Step 2: Convert to fraction form
282,248,943.24/423,297,832.11 = 77,728,401.48/x - Step 3: Cross multiply
282,248,943.24x = 423,297,832.11 × 77,728,401.48 - Step 4: Simplify right side
282,248,943.24x = 32,902,263,839,859,720 - Step 5: Solve for x
x = 32,902,263,839,859,720/282,248,943.24 - Step 6: Final answer
x = 116,571,787.52
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.