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Finding the Fourth Proportional to 272,894.80, 409,342.20 and 205,972.60

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Solution

The fourth proportional to 272,894.80, 409,342.20 and 205,972.60 is: 308,958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,894.80 : 409,342.20 = 205,972.60 : x
  2. Step 2: Convert to fraction form
    272,894.80/409,342.20 = 205,972.60/x
  3. Step 3: Cross multiply
    272,894.80x = 409,342.20 × 205,972.60
  4. Step 4: Simplify right side
    272,894.80x = 84,313,277,223.72
  5. Step 5: Solve for x
    x = 84,313,277,223.72/272,894.80
  6. Step 6: Final answer
    x = 308,958.90

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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.