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Finding the Fourth Proportional to 253,921.88, 380,886.06 and 113,651.48

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Solution

The fourth proportional to 253,921.88, 380,886.06 and 113,651.48 is: 170,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,921.88 : 380,886.06 = 113,651.48 : x
  2. Step 2: Convert to fraction form
    253,921.88/380,886.06 = 113,651.48/x
  3. Step 3: Cross multiply
    253,921.88x = 380,886.06 × 113,651.48
  4. Step 4: Simplify right side
    253,921.88x = 43,288,264,430.37
  5. Step 5: Solve for x
    x = 43,288,264,430.37/253,921.88
  6. Step 6: Final answer
    x = 170,478.67

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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.