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Finding the Fourth Proportional to 253,919.88, 380,883.06 and 113,649.48

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Solution

The fourth proportional to 253,919.88, 380,883.06 and 113,649.48 is: 170,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,919.88 : 380,883.06 = 113,649.48 : x
  2. Step 2: Convert to fraction form
    253,919.88/380,883.06 = 113,649.48/x
  3. Step 3: Cross multiply
    253,919.88x = 380,883.06 × 113,649.48
  4. Step 4: Simplify right side
    253,919.88x = 43,287,161,709.81
  5. Step 5: Solve for x
    x = 43,287,161,709.81/253,919.88
  6. Step 6: Final answer
    x = 170,475.67

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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.