Finding the Fourth Proportional to 840,949,107.42, 1,160,474,641.15 and 483,689,715.24
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Solution
The fourth proportional to 840,949,107.42, 1,160,474,641.15 and 483,689,715.24 is: 667,471,602.94
Step by Step Solution
- Step 1: Write the proportion equation
840,949,107.42 : 1,160,474,641.15 = 483,689,715.24 : x - Step 2: Convert to fraction form
840,949,107.42/1,160,474,641.15 = 483,689,715.24/x - Step 3: Cross multiply
840,949,107.42x = 1,160,474,641.15 × 483,689,715.24 - Step 4: Simplify right side
840,949,107.42x = 561,309,648,721,084,736 - Step 5: Solve for x
x = 561,309,648,721,084,736/840,949,107.42 - Step 6: Final answer
x = 667,471,602.94
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Double scale
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1.5x scale
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.