Finding the Fourth Proportional to 1,029,075,793.20, 1,420,133,585.94 and 559,177,104.42
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Solution
The fourth proportional to 1,029,075,793.20, 1,420,133,585.94 and 559,177,104.42 is: 771,669,289.79
Step by Step Solution
- Step 1: Write the proportion equation
1,029,075,793.20 : 1,420,133,585.94 = 559,177,104.42 : x - Step 2: Convert to fraction form
1,029,075,793.20/1,420,133,585.94 = 559,177,104.42/x - Step 3: Cross multiply
1,029,075,793.20x = 1,420,133,585.94 × 559,177,104.42 - Step 4: Simplify right side
1,029,075,793.20x = 794,106,186,475,520,384 - Step 5: Solve for x
x = 794,106,186,475,520,384/1,029,075,793.20 - Step 6: Final answer
x = 771,669,289.79
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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.