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Finding the Fourth Proportional to 422,366.30, 633,542.66 and 102,520.79

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Solution

The fourth proportional to 422,366.30, 633,542.66 and 102,520.79 is: 153,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,366.30 : 633,542.66 = 102,520.79 : x
  2. Step 2: Convert to fraction form
    422,366.30/633,542.66 = 102,520.79/x
  3. Step 3: Cross multiply
    422,366.30x = 633,542.66 × 102,520.79
  4. Step 4: Simplify right side
    422,366.30x = 64,951,293,658.50
  5. Step 5: Solve for x
    x = 64,951,293,658.50/422,366.30
  6. Step 6: Final answer
    x = 153,779.54

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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.