Finding the Fourth Proportional to 284,748,273.76, 392,949,079.36 and 167,284,311.84
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Solution
The fourth proportional to 284,748,273.76, 392,949,079.36 and 167,284,311.84 is: 230,850,271.58
Step by Step Solution
- Step 1: Write the proportion equation
284,748,273.76 : 392,949,079.36 = 167,284,311.84 : x - Step 2: Convert to fraction form
284,748,273.76/392,949,079.36 = 167,284,311.84/x - Step 3: Cross multiply
284,748,273.76x = 392,949,079.36 × 167,284,311.84 - Step 4: Simplify right side
284,748,273.76x = 65,734,216,328,899,152 - Step 5: Solve for x
x = 65,734,216,328,899,152/284,748,273.76 - Step 6: Final answer
x = 230,850,271.58
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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.