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Finding the Fourth Proportional to 432,198.15, 648,273.79 and 132,678.78

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Solution

The fourth proportional to 432,198.15, 648,273.79 and 132,678.78 is: 199,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,198.15 : 648,273.79 = 132,678.78 : x
  2. Step 2: Convert to fraction form
    432,198.15/648,273.79 = 132,678.78/x
  3. Step 3: Cross multiply
    432,198.15x = 648,273.79 × 132,678.78
  4. Step 4: Simplify right side
    432,198.15x = 86,012,175,563.18
  5. Step 5: Solve for x
    x = 86,012,175,563.18/432,198.15
  6. Step 6: Final answer
    x = 199,010.98

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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.