Finding the Fourth Proportional to 1,665,114,100.16, 2,497,675,408.28 and 421,544,697.08
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Solution
The fourth proportional to 1,665,114,100.16, 2,497,675,408.28 and 421,544,697.08 is: 632,318,123.60
Step by Step Solution
- Step 1: Write the proportion equation
1,665,114,100.16 : 2,497,675,408.28 = 421,544,697.08 : x - Step 2: Convert to fraction form
1,665,114,100.16/2,497,675,408.28 = 421,544,697.08/x - Step 3: Cross multiply
1,665,114,100.16x = 2,497,675,408.28 × 421,544,697.08 - Step 4: Simplify right side
1,665,114,100.16x = 1,052,881,823,387,558,016 - Step 5: Solve for x
x = 1,052,881,823,387,558,016/1,665,114,100.16 - Step 6: Final answer
x = 632,318,123.60
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1.5x scale
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.