Finding the Fourth Proportional to 745,190,499,424.29, 1,028,362,891,186 and 402,634,362,404.64
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Solution
The fourth proportional to 745,190,499,424.29, 1,028,362,891,186 and 402,634,362,404.64 is: 555,635,421,188.48
Step by Step Solution
- Step 1: Write the proportion equation
745,190,499,424.29 : 1,028,362,891,186 = 402,634,362,404.64 : x - Step 2: Convert to fraction form
745,190,499,424.29/1,028,362,891,186 = 402,634,362,404.64/x - Step 3: Cross multiply
745,190,499,424.29x = 1,028,362,891,186 × 402,634,362,404.64 - Step 4: Simplify right side
745,190,499,424.29x = 414,054,237,013,267,328,270,336 - Step 5: Solve for x
x = 414,054,237,013,267,328,270,336/745,190,499,424.29 - Step 6: Final answer
x = 555,635,421,188.48
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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.