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Finding the Fourth Proportional to 265,253.28, 397,879.68 and 78,250.08

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Solution

The fourth proportional to 265,253.28, 397,879.68 and 78,250.08 is: 117,375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,253.28 : 397,879.68 = 78,250.08 : x
  2. Step 2: Convert to fraction form
    265,253.28/397,879.68 = 78,250.08/x
  3. Step 3: Cross multiply
    265,253.28x = 397,879.68 × 78,250.08
  4. Step 4: Simplify right side
    265,253.28x = 31,134,116,790.37
  5. Step 5: Solve for x
    x = 31,134,116,790.37/265,253.28
  6. Step 6: Final answer
    x = 117,375.05

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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.