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Finding the Fourth Proportional to 339,758.14, 509,698.73 and 139,967.50

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Solution

The fourth proportional to 339,758.14, 509,698.73 and 139,967.50 is: 209,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,758.14 : 509,698.73 = 139,967.50 : x
  2. Step 2: Convert to fraction form
    339,758.14/509,698.73 = 139,967.50/x
  3. Step 3: Cross multiply
    339,758.14x = 509,698.73 × 139,967.50
  4. Step 4: Simplify right side
    339,758.14x = 71,341,256,991.28
  5. Step 5: Solve for x
    x = 71,341,256,991.28/339,758.14
  6. Step 6: Final answer
    x = 209,976.59

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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.