Finding the Fourth Proportional to 1,731,538,213.06, 2,597,270,930.64 and 421,447,574.56
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Solution
The fourth proportional to 1,731,538,213.06, 2,597,270,930.64 and 421,447,574.56 is: 632,162,504.96
Step by Step Solution
- Step 1: Write the proportion equation
1,731,538,213.06 : 2,597,270,930.64 = 421,447,574.56 : x - Step 2: Convert to fraction form
1,731,538,213.06/2,597,270,930.64 = 421,447,574.56/x - Step 3: Cross multiply
1,731,538,213.06x = 2,597,270,930.64 × 421,447,574.56 - Step 4: Simplify right side
1,731,538,213.06x = 1,094,613,534,193,421,952 - Step 5: Solve for x
x = 1,094,613,534,193,421,952/1,731,538,213.06 - Step 6: Final answer
x = 632,162,504.96
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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.