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Finding the Fourth Proportional to 339,604.88, 509,514 and 140,019.20

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Solution

The fourth proportional to 339,604.88, 509,514 and 140,019.20 is: 210,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,604.88 : 509,514 = 140,019.20 : x
  2. Step 2: Convert to fraction form
    339,604.88/509,514 = 140,019.20/x
  3. Step 3: Cross multiply
    339,604.88x = 509,514 × 140,019.20
  4. Step 4: Simplify right side
    339,604.88x = 71,341,742,668.80
  5. Step 5: Solve for x
    x = 71,341,742,668.80/339,604.88
  6. Step 6: Final answer
    x = 210,072.78

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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.