Finding the Fourth Proportional to 745,199,203.24, 1,028,344,959.93 and 406,100,478
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Solution
The fourth proportional to 745,199,203.24, 1,028,344,959.93 and 406,100,478 is: 560,402,343.37
Step by Step Solution
- Step 1: Write the proportion equation
745,199,203.24 : 1,028,344,959.93 = 406,100,478 : x - Step 2: Convert to fraction form
745,199,203.24/1,028,344,959.93 = 406,100,478/x - Step 3: Cross multiply
745,199,203.24x = 1,028,344,959.93 × 406,100,478 - Step 4: Simplify right side
745,199,203.24x = 417,611,379,776,463,808 - Step 5: Solve for x
x = 417,611,379,776,463,808/745,199,203.24 - Step 6: Final answer
x = 560,402,343.37
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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.