Finding the Fourth Proportional to 491,805,450.24, 678,692,182.68 and 282,957,404.10
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Solution
The fourth proportional to 491,805,450.24, 678,692,182.68 and 282,957,404.10 is: 390,481,598.16
Step by Step Solution
- Step 1: Write the proportion equation
491,805,450.24 : 678,692,182.68 = 282,957,404.10 : x - Step 2: Convert to fraction form
491,805,450.24/678,692,182.68 = 282,957,404.10/x - Step 3: Cross multiply
491,805,450.24x = 678,692,182.68 × 282,957,404.10 - Step 4: Simplify right side
491,805,450.24x = 192,040,978,194,095,776 - Step 5: Solve for x
x = 192,040,978,194,095,776/491,805,450.24 - Step 6: Final answer
x = 390,481,598.16
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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.