Finding the Fourth Proportional to 812,156,267,690.70, 1,120,802,527,958 and 446,363,436,687.41
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Solution
The fourth proportional to 812,156,267,690.70, 1,120,802,527,958 and 446,363,436,687.41 is: 615,996,315,154.71
Step by Step Solution
- Step 1: Write the proportion equation
812,156,267,690.70 : 1,120,802,527,958 = 446,363,436,687.41 : x - Step 2: Convert to fraction form
812,156,267,690.70/1,120,802,527,958 = 446,363,436,687.41/x - Step 3: Cross multiply
812,156,267,690.70x = 1,120,802,527,958 × 446,363,436,687.41 - Step 4: Simplify right side
812,156,267,690.70x = 500,285,268,227,269,760,909,312 - Step 5: Solve for x
x = 500,285,268,227,269,760,909,312/812,156,267,690.70 - Step 6: Final answer
x = 615,996,315,154.71
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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.