Finding the Fourth Proportional to 299,125,766.82, 412,862,433 and 175,406,302.02
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Solution
The fourth proportional to 299,125,766.82, 412,862,433 and 175,406,302.02 is: 242,101,084.72
Step by Step Solution
- Step 1: Write the proportion equation
299,125,766.82 : 412,862,433 = 175,406,302.02 : x - Step 2: Convert to fraction form
299,125,766.82/412,862,433 = 175,406,302.02/x - Step 3: Cross multiply
299,125,766.82x = 412,862,433 × 175,406,302.02 - Step 4: Simplify right side
299,125,766.82x = 72,418,672,615,510,016 - Step 5: Solve for x
x = 72,418,672,615,510,016/299,125,766.82 - Step 6: Final answer
x = 242,101,084.72
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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.