Finding the Fourth Proportional to 282,071,276.13, 421,207,441.83 and 230,358,465.07
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Solution
The fourth proportional to 282,071,276.13, 421,207,441.83 and 230,358,465.07 is: 343,986,460.12
Step by Step Solution
- Step 1: Write the proportion equation
282,071,276.13 : 421,207,441.83 = 230,358,465.07 : x - Step 2: Convert to fraction form
282,071,276.13/421,207,441.83 = 230,358,465.07/x - Step 3: Cross multiply
282,071,276.13x = 421,207,441.83 × 230,358,465.07 - Step 4: Simplify right side
282,071,276.13x = 97,028,699,775,865,488 - Step 5: Solve for x
x = 97,028,699,775,865,488/282,071,276.13 - Step 6: Final answer
x = 343,986,460.12
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.