Finding the Fourth Proportional to 1,658,597,698.97, 2,488,245,958.76 and 538,033,860.73
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Solution
The fourth proportional to 1,658,597,698.97, 2,488,245,958.76 and 538,033,860.73 is: 807,164,136.59
Step by Step Solution
- Step 1: Write the proportion equation
1,658,597,698.97 : 2,488,245,958.76 = 538,033,860.73 : x - Step 2: Convert to fraction form
1,658,597,698.97/2,488,245,958.76 = 538,033,860.73/x - Step 3: Cross multiply
1,658,597,698.97x = 2,488,245,958.76 × 538,033,860.73 - Step 4: Simplify right side
1,658,597,698.97x = 1,338,760,579,637,463,296 - Step 5: Solve for x
x = 1,338,760,579,637,463,296/1,658,597,698.97 - Step 6: Final answer
x = 807,164,136.59
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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.