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Finding the Fourth Proportional to 274,078.20, 378,230.70 and 153,226.20

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Solution

The fourth proportional to 274,078.20, 378,230.70 and 153,226.20 is: 211,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,078.20 : 378,230.70 = 153,226.20 : x
  2. Step 2: Convert to fraction form
    274,078.20/378,230.70 = 153,226.20/x
  3. Step 3: Cross multiply
    274,078.20x = 378,230.70 × 153,226.20
  4. Step 4: Simplify right side
    274,078.20x = 57,954,852,884.34
  5. Step 5: Solve for x
    x = 57,954,852,884.34/274,078.20
  6. Step 6: Final answer
    x = 211,453.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.