Finding the Fourth Proportional to 1,542,783,394.26, 2,314,788,306.35 and 493,683,240.51
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Solution
The fourth proportional to 1,542,783,394.26, 2,314,788,306.35 and 493,683,240.51 is: 740,721,086.59
Step by Step Solution
- Step 1: Write the proportion equation
1,542,783,394.26 : 2,314,788,306.35 = 493,683,240.51 : x - Step 2: Convert to fraction form
1,542,783,394.26/2,314,788,306.35 = 493,683,240.51/x - Step 3: Cross multiply
1,542,783,394.26x = 2,314,788,306.35 × 493,683,240.51 - Step 4: Simplify right side
1,542,783,394.26x = 1,142,772,192,171,054,080 - Step 5: Solve for x
x = 1,142,772,192,171,054,080/1,542,783,394.26 - Step 6: Final answer
x = 740,721,086.59
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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.