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Finding the Fourth Proportional to 253,442.56, 380,163.84 and 113,298.88

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Solution

The fourth proportional to 253,442.56, 380,163.84 and 113,298.88 is: 169,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,442.56 : 380,163.84 = 113,298.88 : x
  2. Step 2: Convert to fraction form
    253,442.56/380,163.84 = 113,298.88/x
  3. Step 3: Cross multiply
    253,442.56x = 380,163.84 × 113,298.88
  4. Step 4: Simplify right side
    253,442.56x = 43,072,137,288.50
  5. Step 5: Solve for x
    x = 43,072,137,288.50/253,442.56
  6. Step 6: Final answer
    x = 169,948.32

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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.