Finding the Fourth Proportional to 314,112,331.20, 471,168,496.80 and 122,636,107.20
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Solution
The fourth proportional to 314,112,331.20, 471,168,496.80 and 122,636,107.20 is: 183,954,160.80
Step by Step Solution
- Step 1: Write the proportion equation
314,112,331.20 : 471,168,496.80 = 122,636,107.20 : x - Step 2: Convert to fraction form
314,112,331.20/471,168,496.80 = 122,636,107.20/x - Step 3: Cross multiply
314,112,331.20x = 471,168,496.80 × 122,636,107.20 - Step 4: Simplify right side
314,112,331.20x = 57,782,270,282,827,656 - Step 5: Solve for x
x = 57,782,270,282,827,656/314,112,331.20 - Step 6: Final answer
x = 183,954,160.80
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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.