Finding the Fourth Proportional to 477,724,307,006.58, 659,259,518,456.30 and 257,992,977,974.62
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Solution
The fourth proportional to 477,724,307,006.58, 659,259,518,456.30 and 257,992,977,974.62 is: 356,030,295,988.92
Step by Step Solution
- Step 1: Write the proportion equation
477,724,307,006.58 : 659,259,518,456.30 = 257,992,977,974.62 : x - Step 2: Convert to fraction form
477,724,307,006.58/659,259,518,456.30 = 257,992,977,974.62/x - Step 3: Cross multiply
477,724,307,006.58x = 659,259,518,456.30 × 257,992,977,974.62 - Step 4: Simplify right side
477,724,307,006.58x = 170,084,326,424,654,794,194,944 - Step 5: Solve for x
x = 170,084,326,424,654,794,194,944/477,724,307,006.58 - Step 6: Final answer
x = 356,030,295,988.92
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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.