Finding the Fourth Proportional to 571,335,151,519.55, 788,442,637,792 and 314,418,048,753.78
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Solution
The fourth proportional to 571,335,151,519.55, 788,442,637,792 and 314,418,048,753.78 is: 433,896,978,103.86
Step by Step Solution
- Step 1: Write the proportion equation
571,335,151,519.55 : 788,442,637,792 = 314,418,048,753.78 : x - Step 2: Convert to fraction form
571,335,151,519.55/788,442,637,792 = 314,418,048,753.78/x - Step 3: Cross multiply
571,335,151,519.55x = 788,442,637,792 × 314,418,048,753.78 - Step 4: Simplify right side
571,335,151,519.55x = 247,900,595,728,843,983,028,224 - Step 5: Solve for x
x = 247,900,595,728,843,983,028,224/571,335,151,519.55 - Step 6: Final answer
x = 433,896,978,103.86
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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.