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Finding the Fourth Proportional to 281,854.14, 423,257.48 and 279,676.86

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Solution

The fourth proportional to 281,854.14, 423,257.48 and 279,676.86 is: 419,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,854.14 : 423,257.48 = 279,676.86 : x
  2. Step 2: Convert to fraction form
    281,854.14/423,257.48 = 279,676.86/x
  3. Step 3: Cross multiply
    281,854.14x = 423,257.48 × 279,676.86
  4. Step 4: Simplify right side
    281,854.14x = 118,375,322,977.91
  5. Step 5: Solve for x
    x = 118,375,322,977.91/281,854.14
  6. Step 6: Final answer
    x = 419,987.88

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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.