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Finding the Fourth Proportional to 339,323.20, 509,192.80 and 139,739.20

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Solution

The fourth proportional to 339,323.20, 509,192.80 and 139,739.20 is: 209,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,323.20 : 509,192.80 = 139,739.20 : x
  2. Step 2: Convert to fraction form
    339,323.20/509,192.80 = 139,739.20/x
  3. Step 3: Cross multiply
    339,323.20x = 509,192.80 × 139,739.20
  4. Step 4: Simplify right side
    339,323.20x = 71,154,194,517.76
  5. Step 5: Solve for x
    x = 71,154,194,517.76/339,323.20
  6. Step 6: Final answer
    x = 209,694.46

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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.