Finding the Fourth Proportional to 776,746,129.98, 1,165,129,291.74 and 259,176,570.48
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Solution
The fourth proportional to 776,746,129.98, 1,165,129,291.74 and 259,176,570.48 is: 388,768,224.71
Step by Step Solution
- Step 1: Write the proportion equation
776,746,129.98 : 1,165,129,291.74 = 259,176,570.48 : x - Step 2: Convert to fraction form
776,746,129.98/1,165,129,291.74 = 259,176,570.48/x - Step 3: Cross multiply
776,746,129.98x = 1,165,129,291.74 × 259,176,570.48 - Step 4: Simplify right side
776,746,129.98x = 301,974,213,998,964,608 - Step 5: Solve for x
x = 301,974,213,998,964,608/776,746,129.98 - Step 6: Final answer
x = 388,768,224.71
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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.