Finding the Fourth Proportional to 405,476,073.12, 559,568,785.14 and 229,260,285.12
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Solution
The fourth proportional to 405,476,073.12, 559,568,785.14 and 229,260,285.12 is: 316,385,867.70
Step by Step Solution
- Step 1: Write the proportion equation
405,476,073.12 : 559,568,785.14 = 229,260,285.12 : x - Step 2: Convert to fraction form
405,476,073.12/559,568,785.14 = 229,260,285.12/x - Step 3: Cross multiply
405,476,073.12x = 559,568,785.14 × 229,260,285.12 - Step 4: Simplify right side
405,476,073.12x = 128,286,899,225,448,416 - Step 5: Solve for x
x = 128,286,899,225,448,416/405,476,073.12 - Step 6: Final answer
x = 316,385,867.70
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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.