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Finding the Fourth Proportional to 496,939.68, 685,755.36 and 282,075.84

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Solution

The fourth proportional to 496,939.68, 685,755.36 and 282,075.84 is: 389,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,939.68 : 685,755.36 = 282,075.84 : x
  2. Step 2: Convert to fraction form
    496,939.68/685,755.36 = 282,075.84/x
  3. Step 3: Cross multiply
    496,939.68x = 685,755.36 × 282,075.84
  4. Step 4: Simplify right side
    496,939.68x = 193,435,019,206.50
  5. Step 5: Solve for x
    x = 193,435,019,206.50/496,939.68
  6. Step 6: Final answer
    x = 389,252.51

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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.