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Finding the Fourth Proportional to 339,305.70, 509,166.55 and 139,721.70

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Solution

The fourth proportional to 339,305.70, 509,166.55 and 139,721.70 is: 209,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,305.70 : 509,166.55 = 139,721.70 : x
  2. Step 2: Convert to fraction form
    339,305.70/509,166.55 = 139,721.70/x
  3. Step 3: Cross multiply
    339,305.70x = 509,166.55 × 139,721.70
  4. Step 4: Simplify right side
    339,305.70x = 71,141,615,949.14
  5. Step 5: Solve for x
    x = 71,141,615,949.14/339,305.70
  6. Step 6: Final answer
    x = 209,668.20

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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.