Finding the Fourth Proportional to 315,727.77, 473,438.14 and 105,294.63
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Solution
The fourth proportional to 315,727.77, 473,438.14 and 105,294.63 is: 157,890.75
Step by Step Solution
- Step 1: Write the proportion equation
315,727.77 : 473,438.14 = 105,294.63 : x - Step 2: Convert to fraction form
315,727.77/473,438.14 = 105,294.63/x - Step 3: Cross multiply
315,727.77x = 473,438.14 × 105,294.63 - Step 4: Simplify right side
315,727.77x = 49,850,493,779.19 - Step 5: Solve for x
x = 49,850,493,779.19/315,727.77 - Step 6: Final answer
x = 157,890.75
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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.