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Finding the Fourth Proportional to 272,857.57, 409,565.64 and 225,321.20

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Solution

The fourth proportional to 272,857.57, 409,565.64 and 225,321.20 is: 338,212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,857.57 : 409,565.64 = 225,321.20 : x
  2. Step 2: Convert to fraction form
    272,857.57/409,565.64 = 225,321.20/x
  3. Step 3: Cross multiply
    272,857.57x = 409,565.64 × 225,321.20
  4. Step 4: Simplify right side
    272,857.57x = 92,283,821,483.57
  5. Step 5: Solve for x
    x = 92,283,821,483.57/272,857.57
  6. Step 6: Final answer
    x = 338,212.43

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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.