Finding the Fourth Proportional to 206,682,523.30, 310,023,784.95 and 185,637,459.70
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Solution
The fourth proportional to 206,682,523.30, 310,023,784.95 and 185,637,459.70 is: 278,456,189.55
Step by Step Solution
- Step 1: Write the proportion equation
206,682,523.30 : 310,023,784.95 = 185,637,459.70 : x - Step 2: Convert to fraction form
206,682,523.30/310,023,784.95 = 185,637,459.70/x - Step 3: Cross multiply
206,682,523.30x = 310,023,784.95 × 185,637,459.70 - Step 4: Simplify right side
206,682,523.30x = 57,552,027,884,697,088 - Step 5: Solve for x
x = 57,552,027,884,697,088/206,682,523.30 - Step 6: Final answer
x = 278,456,189.55
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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.