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Finding the Fourth Proportional to 340,120.40, 509,743.20 and 206,859.20

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Solution

The fourth proportional to 340,120.40, 509,743.20 and 206,859.20 is: 310,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,120.40 : 509,743.20 = 206,859.20 : x
  2. Step 2: Convert to fraction form
    340,120.40/509,743.20 = 206,859.20/x
  3. Step 3: Cross multiply
    340,120.40x = 509,743.20 × 206,859.20
  4. Step 4: Simplify right side
    340,120.40x = 105,445,070,557.44
  5. Step 5: Solve for x
    x = 105,445,070,557.44/340,120.40
  6. Step 6: Final answer
    x = 310,022.78

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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.