Finding the Fourth Proportional to 1,158,235,382.20, 1,598,353,563.36 and 862,201,468.12
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Solution
The fourth proportional to 1,158,235,382.20, 1,598,353,563.36 and 862,201,468.12 is: 1,189,829,640.92
Step by Step Solution
- Step 1: Write the proportion equation
1,158,235,382.20 : 1,598,353,563.36 = 862,201,468.12 : x - Step 2: Convert to fraction form
1,158,235,382.20/1,598,353,563.36 = 862,201,468.12/x - Step 3: Cross multiply
1,158,235,382.20x = 1,598,353,563.36 × 862,201,468.12 - Step 4: Simplify right side
1,158,235,382.20x = 1,378,102,788,903,825,408 - Step 5: Solve for x
x = 1,378,102,788,903,825,408/1,158,235,382.20 - Step 6: Final answer
x = 1,189,829,640.92
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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.