Finding the Fourth Proportional to 724,102,744.14, 999,367,083.09 and 406,598,633.10
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Solution
The fourth proportional to 724,102,744.14, 999,367,083.09 and 406,598,633.10 is: 561,165,239.65
Step by Step Solution
- Step 1: Write the proportion equation
724,102,744.14 : 999,367,083.09 = 406,598,633.10 : x - Step 2: Convert to fraction form
724,102,744.14/999,367,083.09 = 406,598,633.10/x - Step 3: Cross multiply
724,102,744.14x = 999,367,083.09 × 406,598,633.10 - Step 4: Simplify right side
724,102,744.14x = 406,341,289,949,528,192 - Step 5: Solve for x
x = 406,341,289,949,528,192/724,102,744.14 - Step 6: Final answer
x = 561,165,239.65
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1.5x scale
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.