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Finding the Fourth Proportional to 496,732.96, 685,531.92 and 278,936.80

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Solution

The fourth proportional to 496,732.96, 685,531.92 and 278,936.80 is: 384,955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,732.96 : 685,531.92 = 278,936.80 : x
  2. Step 2: Convert to fraction form
    496,732.96/685,531.92 = 278,936.80/x
  3. Step 3: Cross multiply
    496,732.96x = 685,531.92 × 278,936.80
  4. Step 4: Simplify right side
    496,732.96x = 191,220,080,062.66
  5. Step 5: Solve for x
    x = 191,220,080,062.66/496,732.96
  6. Step 6: Final answer
    x = 384,955.49

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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.