Finding the Fourth Proportional to 812,102,518,648.56, 1,218,194,240,121.90 and 309,063,893,967.84
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Solution
The fourth proportional to 812,102,518,648.56, 1,218,194,240,121.90 and 309,063,893,967.84 is: 463,611,239,733.39
Step by Step Solution
- Step 1: Write the proportion equation
812,102,518,648.56 : 1,218,194,240,121.90 = 309,063,893,967.84 : x - Step 2: Convert to fraction form
812,102,518,648.56/1,218,194,240,121.90 = 309,063,893,967.84/x - Step 3: Cross multiply
812,102,518,648.56x = 1,218,194,240,121.90 × 309,063,893,967.84 - Step 4: Simplify right side
812,102,518,648.56x = 376,499,855,461,268,315,963,392 - Step 5: Solve for x
x = 376,499,855,461,268,315,963,392/812,102,518,648.56 - Step 6: Final answer
x = 463,611,239,733.39
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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.