Finding the Fourth Proportional to 1,217,950,231.24, 1,827,693,850.65 and 518,441,225.18
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Solution
The fourth proportional to 1,217,950,231.24, 1,827,693,850.65 and 518,441,225.18 is: 777,988,964.48
Step by Step Solution
- Step 1: Write the proportion equation
1,217,950,231.24 : 1,827,693,850.65 = 518,441,225.18 : x - Step 2: Convert to fraction form
1,217,950,231.24/1,827,693,850.65 = 518,441,225.18/x - Step 3: Cross multiply
1,217,950,231.24x = 1,827,693,850.65 × 518,441,225.18 - Step 4: Simplify right side
1,217,950,231.24x = 947,551,839,182,345,728 - Step 5: Solve for x
x = 947,551,839,182,345,728/1,217,950,231.24 - Step 6: Final answer
x = 777,988,964.48
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1.5x scale
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.