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Finding the Fourth Proportional to 285,711.60, 428,627.34 and 108,214.68

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Solution

The fourth proportional to 285,711.60, 428,627.34 and 108,214.68 is: 162,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,711.60 : 428,627.34 = 108,214.68 : x
  2. Step 2: Convert to fraction form
    285,711.60/428,627.34 = 108,214.68/x
  3. Step 3: Cross multiply
    285,711.60x = 428,627.34 × 108,214.68
  4. Step 4: Simplify right side
    285,711.60x = 46,383,770,437.35
  5. Step 5: Solve for x
    x = 46,383,770,437.35/285,711.60
  6. Step 6: Final answer
    x = 162,344.72

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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.