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Finding the Fourth Proportional to 422,429.58, 633,638.90 and 102,584.17

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Solution

The fourth proportional to 422,429.58, 633,638.90 and 102,584.17 is: 153,874.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,429.58 : 633,638.90 = 102,584.17 : x
  2. Step 2: Convert to fraction form
    422,429.58/633,638.90 = 102,584.17/x
  3. Step 3: Cross multiply
    422,429.58x = 633,638.90 × 102,584.17
  4. Step 4: Simplify right side
    422,429.58x = 65,001,321,684.72
  5. Step 5: Solve for x
    x = 65,001,321,684.72/422,429.58
  6. Step 6: Final answer
    x = 153,874.93

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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.