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Finding the Fourth Proportional to 496,478.44, 685,119.78 and 270,124.84

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Solution

The fourth proportional to 496,478.44, 685,119.78 and 270,124.84 is: 372,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,478.44 : 685,119.78 = 270,124.84 : x
  2. Step 2: Convert to fraction form
    496,478.44/685,119.78 = 270,124.84/x
  3. Step 3: Cross multiply
    496,478.44x = 685,119.78 × 270,124.84
  4. Step 4: Simplify right side
    496,478.44x = 185,067,870,953.34
  5. Step 5: Solve for x
    x = 185,067,870,953.34/496,478.44
  6. Step 6: Final answer
    x = 372,761.14

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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.