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Finding the Fourth Proportional to 273,021.20, 409,531.80 and 257,469.20

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Solution

The fourth proportional to 273,021.20, 409,531.80 and 257,469.20 is: 386,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,021.20 : 409,531.80 = 257,469.20 : x
  2. Step 2: Convert to fraction form
    273,021.20/409,531.80 = 257,469.20/x
  3. Step 3: Cross multiply
    273,021.20x = 409,531.80 × 257,469.20
  4. Step 4: Simplify right side
    273,021.20x = 105,441,824,920.56
  5. Step 5: Solve for x
    x = 105,441,824,920.56/273,021.20
  6. Step 6: Final answer
    x = 386,203.80

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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.