Finding the Fourth Proportional to 864,236,238.06, 1,296,356,349.89 and 498,163,734.03
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Solution
The fourth proportional to 864,236,238.06, 1,296,356,349.89 and 498,163,734.03 is: 747,246,749.74
Step by Step Solution
- Step 1: Write the proportion equation
864,236,238.06 : 1,296,356,349.89 = 498,163,734.03 : x - Step 2: Convert to fraction form
864,236,238.06/1,296,356,349.89 = 498,163,734.03/x - Step 3: Cross multiply
864,236,238.06x = 1,296,356,349.89 × 498,163,734.03 - Step 4: Simplify right side
864,236,238.06x = 645,797,719,895,948,928 - Step 5: Solve for x
x = 645,797,719,895,948,928/864,236,238.06 - Step 6: Final answer
x = 747,246,749.74
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1.5x scale
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.