Finding the Fourth Proportional to 827,822.09, 1,241,887.14 and 288,055.91
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Solution
The fourth proportional to 827,822.09, 1,241,887.14 and 288,055.91 is: 432,137.46
Step by Step Solution
- Step 1: Write the proportion equation
827,822.09 : 1,241,887.14 = 288,055.91 : x - Step 2: Convert to fraction form
827,822.09/1,241,887.14 = 288,055.91/x - Step 3: Cross multiply
827,822.09x = 1,241,887.14 × 288,055.91 - Step 4: Simplify right side
827,822.09x = 357,732,933,334.72 - Step 5: Solve for x
x = 357,732,933,334.72/827,822.09 - Step 6: Final answer
x = 432,137.46
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.