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Finding the Fourth Proportional to 253,463.92, 349,791.24 and 140,286.64

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Solution

The fourth proportional to 253,463.92, 349,791.24 and 140,286.64 is: 193,601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,463.92 : 349,791.24 = 140,286.64 : x
  2. Step 2: Convert to fraction form
    253,463.92/349,791.24 = 140,286.64/x
  3. Step 3: Cross multiply
    253,463.92x = 349,791.24 × 140,286.64
  4. Step 4: Simplify right side
    253,463.92x = 49,071,037,761.03
  5. Step 5: Solve for x
    x = 49,071,037,761.03/253,463.92
  6. Step 6: Final answer
    x = 193,601.67

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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.