Finding the Fourth Proportional to 405,045,709.84, 558,965,763.12 and 219,406,723.84
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Solution
The fourth proportional to 405,045,709.84, 558,965,763.12 and 219,406,723.84 is: 302,782,732.53
Step by Step Solution
- Step 1: Write the proportion equation
405,045,709.84 : 558,965,763.12 = 219,406,723.84 : x - Step 2: Convert to fraction form
405,045,709.84/558,965,763.12 = 219,406,723.84/x - Step 3: Cross multiply
405,045,709.84x = 558,965,763.12 × 219,406,723.84 - Step 4: Simplify right side
405,045,709.84x = 122,640,846,824,884,704 - Step 5: Solve for x
x = 122,640,846,824,884,704/405,045,709.84 - Step 6: Final answer
x = 302,782,732.53
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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.