Finding the Fourth Proportional to 1,384,157,015.68, 2,075,970,921.92 and 414,808,631.68
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Solution
The fourth proportional to 1,384,157,015.68, 2,075,970,921.92 and 414,808,631.68 is: 622,133,650.86
Step by Step Solution
- Step 1: Write the proportion equation
1,384,157,015.68 : 2,075,970,921.92 = 414,808,631.68 : x - Step 2: Convert to fraction form
1,384,157,015.68/2,075,970,921.92 = 414,808,631.68/x - Step 3: Cross multiply
1,384,157,015.68x = 2,075,970,921.92 × 414,808,631.68 - Step 4: Simplify right side
1,384,157,015.68x = 861,130,657,529,103,360 - Step 5: Solve for x
x = 861,130,657,529,103,360/1,384,157,015.68 - Step 6: Final answer
x = 622,133,650.86
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.