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Finding the Fourth Proportional to 550,785.30, 825,609.52 and 231,122.78

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Solution

The fourth proportional to 550,785.30, 825,609.52 and 231,122.78 is: 346,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,785.30 : 825,609.52 = 231,122.78 : x
  2. Step 2: Convert to fraction form
    550,785.30/825,609.52 = 231,122.78/x
  3. Step 3: Cross multiply
    550,785.30x = 825,609.52 × 231,122.78
  4. Step 4: Simplify right side
    550,785.30x = 190,817,167,456.87
  5. Step 5: Solve for x
    x = 190,817,167,456.87/550,785.30
  6. Step 6: Final answer
    x = 346,445.64

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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.