Finding the Fourth Proportional to 1,570,967,747.82, 2,167,835,595.21 and 866,081,201.58
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Solution
The fourth proportional to 1,570,967,747.82, 2,167,835,595.21 and 866,081,201.58 is: 1,195,136,984.66
Step by Step Solution
- Step 1: Write the proportion equation
1,570,967,747.82 : 2,167,835,595.21 = 866,081,201.58 : x - Step 2: Convert to fraction form
1,570,967,747.82/2,167,835,595.21 = 866,081,201.58/x - Step 3: Cross multiply
1,570,967,747.82x = 2,167,835,595.21 × 866,081,201.58 - Step 4: Simplify right side
1,570,967,747.82x = 1,877,521,657,127,371,520 - Step 5: Solve for x
x = 1,877,521,657,127,371,520/1,570,967,747.82 - Step 6: Final answer
x = 1,195,136,984.66
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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.