Finding the Fourth Proportional to 812,156,267,923.92, 1,120,802,528,280.30 and 446,363,436,920.84
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Solution
The fourth proportional to 812,156,267,923.92, 1,120,802,528,280.30 and 446,363,436,920.84 is: 615,996,315,477.09
Step by Step Solution
- Step 1: Write the proportion equation
812,156,267,923.92 : 1,120,802,528,280.30 = 446,363,436,920.84 : x - Step 2: Convert to fraction form
812,156,267,923.92/1,120,802,528,280.30 = 446,363,436,920.84/x - Step 3: Cross multiply
812,156,267,923.92x = 1,120,802,528,280.30 × 446,363,436,920.84 - Step 4: Simplify right side
812,156,267,923.92x = 500,285,268,632,761,716,965,376 - Step 5: Solve for x
x = 500,285,268,632,761,716,965,376/812,156,267,923.92 - Step 6: Final answer
x = 615,996,315,477.09
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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.