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Finding the Fourth Proportional to 253,904.56, 380,910.12 and 76,424.56

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Solution

The fourth proportional to 253,904.56, 380,910.12 and 76,424.56 is: 114,652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,904.56 : 380,910.12 = 76,424.56 : x
  2. Step 2: Convert to fraction form
    253,904.56/380,910.12 = 76,424.56/x
  3. Step 3: Cross multiply
    253,904.56x = 380,910.12 × 76,424.56
  4. Step 4: Simplify right side
    253,904.56x = 29,110,888,320.55
  5. Step 5: Solve for x
    x = 29,110,888,320.55/253,904.56
  6. Step 6: Final answer
    x = 114,652.88

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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.