Finding the Fourth Proportional to 1,507,689,493.20, 2,261,584,628.28 and 417,081,232.08
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Solution
The fourth proportional to 1,507,689,493.20, 2,261,584,628.28 and 417,081,232.08 is: 625,635,787.39
Step by Step Solution
- Step 1: Write the proportion equation
1,507,689,493.20 : 2,261,584,628.28 = 417,081,232.08 : x - Step 2: Convert to fraction form
1,507,689,493.20/2,261,584,628.28 = 417,081,232.08/x - Step 3: Cross multiply
1,507,689,493.20x = 2,261,584,628.28 × 417,081,232.08 - Step 4: Simplify right side
1,507,689,493.20x = 943,264,503,216,211,200 - Step 5: Solve for x
x = 943,264,503,216,211,200/1,507,689,493.20 - Step 6: Final answer
x = 625,635,787.39
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1.5x scale
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.