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Finding the Fourth Proportional to 253,471.72, 349,786.74 and 140,292.04

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Solution

The fourth proportional to 253,471.72, 349,786.74 and 140,292.04 is: 193,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,471.72 : 349,786.74 = 140,292.04 : x
  2. Step 2: Convert to fraction form
    253,471.72/349,786.74 = 140,292.04/x
  3. Step 3: Cross multiply
    253,471.72x = 349,786.74 × 140,292.04
  4. Step 4: Simplify right side
    253,471.72x = 49,072,295,319.55
  5. Step 5: Solve for x
    x = 49,072,295,319.55/253,471.72
  6. Step 6: Final answer
    x = 193,600.67

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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.