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Finding the Fourth Proportional to 274,420.80, 410,824.80 and 204,609.60

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Solution

The fourth proportional to 274,420.80, 410,824.80 and 204,609.60 is: 306,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,420.80 : 410,824.80 = 204,609.60 : x
  2. Step 2: Convert to fraction form
    274,420.80/410,824.80 = 204,609.60/x
  3. Step 3: Cross multiply
    274,420.80x = 410,824.80 × 204,609.60
  4. Step 4: Simplify right side
    274,420.80x = 84,058,697,998.08
  5. Step 5: Solve for x
    x = 84,058,697,998.08/274,420.80
  6. Step 6: Final answer
    x = 306,313.14

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1.5x scale

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.