Finding the Fourth Proportional to 745,199,202.24, 1,028,344,958.55 and 406,100,477
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Solution
The fourth proportional to 745,199,202.24, 1,028,344,958.55 and 406,100,477 is: 560,402,341.99
Step by Step Solution
- Step 1: Write the proportion equation
745,199,202.24 : 1,028,344,958.55 = 406,100,477 : x - Step 2: Convert to fraction form
745,199,202.24/1,028,344,958.55 = 406,100,477/x - Step 3: Cross multiply
745,199,202.24x = 1,028,344,958.55 × 406,100,477 - Step 4: Simplify right side
745,199,202.24x = 417,611,378,187,700,224 - Step 5: Solve for x
x = 417,611,378,187,700,224/745,199,202.24 - Step 6: Final answer
x = 560,402,341.99
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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.