Finding the Fourth Proportional to 427,644,394.25, 590,149,239.95 and 232,074,106.25
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Solution
The fourth proportional to 427,644,394.25, 590,149,239.95 and 232,074,106.25 is: 320,262,253.54
Step by Step Solution
- Step 1: Write the proportion equation
427,644,394.25 : 590,149,239.95 = 232,074,106.25 : x - Step 2: Convert to fraction form
427,644,394.25/590,149,239.95 = 232,074,106.25/x - Step 3: Cross multiply
427,644,394.25x = 590,149,239.95 × 232,074,106.25 - Step 4: Simplify right side
427,644,394.25x = 136,958,357,413,142,480 - Step 5: Solve for x
x = 136,958,357,413,142,480/427,644,394.25 - Step 6: Final answer
x = 320,262,253.54
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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.