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Finding the Fourth Proportional to 275,400, 412,712.33 and 218,989.76

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Solution

The fourth proportional to 275,400, 412,712.33 and 218,989.76 is: 328,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,400 : 412,712.33 = 218,989.76 : x
  2. Step 2: Convert to fraction form
    275,400/412,712.33 = 218,989.76/x
  3. Step 3: Cross multiply
    275,400x = 412,712.33 × 218,989.76
  4. Step 4: Simplify right side
    275,400x = 90,379,774,490.55
  5. Step 5: Solve for x
    x = 90,379,774,490.55/275,400
  6. Step 6: Final answer
    x = 328,176.38

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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.