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Finding the Fourth Proportional to 253,514.40, 380,291.40 and 113,287.20

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Solution

The fourth proportional to 253,514.40, 380,291.40 and 113,287.20 is: 169,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,514.40 : 380,291.40 = 113,287.20 : x
  2. Step 2: Convert to fraction form
    253,514.40/380,291.40 = 113,287.20/x
  3. Step 3: Cross multiply
    253,514.40x = 380,291.40 × 113,287.20
  4. Step 4: Simplify right side
    253,514.40x = 43,082,147,890.08
  5. Step 5: Solve for x
    x = 43,082,147,890.08/253,514.40
  6. Step 6: Final answer
    x = 169,939.65

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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.