Finding the Fourth Proportional to 1,471,471,591.20, 2,206,831,106.16 and 436,090,970.40
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Solution
The fourth proportional to 1,471,471,591.20, 2,206,831,106.16 and 436,090,970.40 is: 654,024,939.62
Step by Step Solution
- Step 1: Write the proportion equation
1,471,471,591.20 : 2,206,831,106.16 = 436,090,970.40 : x - Step 2: Convert to fraction form
1,471,471,591.20/2,206,831,106.16 = 436,090,970.40/x - Step 3: Cross multiply
1,471,471,591.20x = 2,206,831,106.16 × 436,090,970.40 - Step 4: Simplify right side
1,471,471,591.20x = 962,379,118,594,219,648 - Step 5: Solve for x
x = 962,379,118,594,219,648/1,471,471,591.20 - Step 6: Final answer
x = 654,024,939.62
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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.