Finding the Fourth Proportional to 1,599,474,864.48, 2,399,317,569.84 and 419,084,247.12
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Solution
The fourth proportional to 1,599,474,864.48, 2,399,317,569.84 and 419,084,247.12 is: 628,653,953.67
Step by Step Solution
- Step 1: Write the proportion equation
1,599,474,864.48 : 2,399,317,569.84 = 419,084,247.12 : x - Step 2: Convert to fraction form
1,599,474,864.48/2,399,317,569.84 = 419,084,247.12/x - Step 3: Cross multiply
1,599,474,864.48x = 2,399,317,569.84 × 419,084,247.12 - Step 4: Simplify right side
1,599,474,864.48x = 1,005,516,197,358,184,448 - Step 5: Solve for x
x = 1,005,516,197,358,184,448/1,599,474,864.48 - Step 6: Final answer
x = 628,653,953.67
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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.