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Finding the Fourth Proportional to 496,632.56, 685,368.40 and 281,781.68

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Solution

The fourth proportional to 496,632.56, 685,368.40 and 281,781.68 is: 388,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,632.56 : 685,368.40 = 281,781.68 : x
  2. Step 2: Convert to fraction form
    496,632.56/685,368.40 = 281,781.68/x
  3. Step 3: Cross multiply
    496,632.56x = 685,368.40 × 281,781.68
  4. Step 4: Simplify right side
    496,632.56x = 193,124,259,170.91
  5. Step 5: Solve for x
    x = 193,124,259,170.91/496,632.56
  6. Step 6: Final answer
    x = 388,867.49

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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.