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Finding the Fourth Proportional to 285,781.40, 428,584.55 and 197,601.56

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Solution

The fourth proportional to 285,781.40, 428,584.55 and 197,601.56 is: 296,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,781.40 : 428,584.55 = 197,601.56 : x
  2. Step 2: Convert to fraction form
    285,781.40/428,584.55 = 197,601.56/x
  3. Step 3: Cross multiply
    285,781.40x = 428,584.55 × 197,601.56
  4. Step 4: Simplify right side
    285,781.40x = 84,688,972,540.97
  5. Step 5: Solve for x
    x = 84,688,972,540.97/285,781.40
  6. Step 6: Final answer
    x = 296,341.80

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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.