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Finding the Fourth Proportional to 422,189.33, 633,285.27 and 102,339.94

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Solution

The fourth proportional to 422,189.33, 633,285.27 and 102,339.94 is: 153,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,189.33 : 633,285.27 = 102,339.94 : x
  2. Step 2: Convert to fraction form
    422,189.33/633,285.27 = 102,339.94/x
  3. Step 3: Cross multiply
    422,189.33x = 633,285.27 × 102,339.94
  4. Step 4: Simplify right side
    422,189.33x = 64,810,376,138.88
  5. Step 5: Solve for x
    x = 64,810,376,138.88/422,189.33
  6. Step 6: Final answer
    x = 153,510.22

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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.