Finding the Fourth Proportional to 419,291,712.97, 578,648,452.14 and 231,119,583.07
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Solution
The fourth proportional to 419,291,712.97, 578,648,452.14 and 231,119,583.07 is: 318,959,294.60
Step by Step Solution
- Step 1: Write the proportion equation
419,291,712.97 : 578,648,452.14 = 231,119,583.07 : x - Step 2: Convert to fraction form
419,291,712.97/578,648,452.14 = 231,119,583.07/x - Step 3: Cross multiply
419,291,712.97x = 578,648,452.14 × 231,119,583.07 - Step 4: Simplify right side
419,291,712.97x = 133,736,989,002,554,256 - Step 5: Solve for x
x = 133,736,989,002,554,256/419,291,712.97 - Step 6: Final answer
x = 318,959,294.60
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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.