Finding the Fourth Proportional to 1,227,465,848.16, 1,841,925,165.84 and 451,656,298.08
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Solution
The fourth proportional to 1,227,465,848.16, 1,841,925,165.84 and 451,656,298.08 is: 677,751,729.70
Step by Step Solution
- Step 1: Write the proportion equation
1,227,465,848.16 : 1,841,925,165.84 = 451,656,298.08 : x - Step 2: Convert to fraction form
1,227,465,848.16/1,841,925,165.84 = 451,656,298.08/x - Step 3: Cross multiply
1,227,465,848.16x = 1,841,925,165.84 × 451,656,298.08 - Step 4: Simplify right side
1,227,465,848.16x = 831,917,101,743,684,352 - Step 5: Solve for x
x = 831,917,101,743,684,352/1,227,465,848.16 - Step 6: Final answer
x = 677,751,729.70
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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.