Finding the Fourth Proportional to 822,633,143.81, 1,135,235,938.84 and 446,289,730.49
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Solution
The fourth proportional to 822,633,143.81, 1,135,235,938.84 and 446,289,730.49 is: 615,881,021.82
Step by Step Solution
- Step 1: Write the proportion equation
822,633,143.81 : 1,135,235,938.84 = 446,289,730.49 : x - Step 2: Convert to fraction form
822,633,143.81/1,135,235,938.84 = 446,289,730.49/x - Step 3: Cross multiply
822,633,143.81x = 1,135,235,938.84 × 446,289,730.49 - Step 4: Simplify right side
822,633,143.81x = 506,644,141,189,188,160 - Step 5: Solve for x
x = 506,644,141,189,188,160/822,633,143.81 - Step 6: Final answer
x = 615,881,021.82
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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.