Finding the Fourth Proportional to 842,415.84, 1,262,865.12 and 309,822.96
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Solution
The fourth proportional to 842,415.84, 1,262,865.12 and 309,822.96 is: 464,455.43
Step by Step Solution
- Step 1: Write the proportion equation
842,415.84 : 1,262,865.12 = 309,822.96 : x - Step 2: Convert to fraction form
842,415.84/1,262,865.12 = 309,822.96/x - Step 3: Cross multiply
842,415.84x = 1,262,865.12 × 309,822.96 - Step 4: Simplify right side
842,415.84x = 391,264,609,559.16 - Step 5: Solve for x
x = 391,264,609,559.16/842,415.84 - Step 6: Final answer
x = 464,455.43
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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.