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Finding the Fourth Proportional to 274,196.64, 378,305.28 and 153,321.60

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Solution

The fourth proportional to 274,196.64, 378,305.28 and 153,321.60 is: 211,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,196.64 : 378,305.28 = 153,321.60 : x
  2. Step 2: Convert to fraction form
    274,196.64/378,305.28 = 153,321.60/x
  3. Step 3: Cross multiply
    274,196.64x = 378,305.28 × 153,321.60
  4. Step 4: Simplify right side
    274,196.64x = 58,002,370,818.05
  5. Step 5: Solve for x
    x = 58,002,370,818.05/274,196.64
  6. Step 6: Final answer
    x = 211,535.67

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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.