Finding the Fourth Proportional to 1,646,918,006.94, 2,272,683,106.07 and 894,213,954.68
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Solution
The fourth proportional to 1,646,918,006.94, 2,272,683,106.07 and 894,213,954.68 is: 1,233,980,647.15
Step by Step Solution
- Step 1: Write the proportion equation
1,646,918,006.94 : 2,272,683,106.07 = 894,213,954.68 : x - Step 2: Convert to fraction form
1,646,918,006.94/2,272,683,106.07 = 894,213,954.68/x - Step 3: Cross multiply
1,646,918,006.94x = 2,272,683,106.07 × 894,213,954.68 - Step 4: Simplify right side
1,646,918,006.94x = 2,032,264,948,014,491,392 - Step 5: Solve for x
x = 2,032,264,948,014,491,392/1,646,918,006.94 - Step 6: Final answer
x = 1,233,980,647.15
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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.