Finding the Fourth Proportional to 298,971,980.20, 448,457,970.30 and 274,785,509.80
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Solution
The fourth proportional to 298,971,980.20, 448,457,970.30 and 274,785,509.80 is: 412,178,264.70
Step by Step Solution
- Step 1: Write the proportion equation
298,971,980.20 : 448,457,970.30 = 274,785,509.80 : x - Step 2: Convert to fraction form
298,971,980.20/448,457,970.30 = 274,785,509.80/x - Step 3: Cross multiply
298,971,980.20x = 448,457,970.30 × 274,785,509.80 - Step 4: Simplify right side
298,971,980.20x = 123,229,751,992,758,768 - Step 5: Solve for x
x = 123,229,751,992,758,768/298,971,980.20 - Step 6: Final answer
x = 412,178,264.70
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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.