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Finding the Fourth Proportional to 339,957.40, 509,498.70 and 206,696.20

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Solution

The fourth proportional to 339,957.40, 509,498.70 and 206,696.20 is: 309,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,957.40 : 509,498.70 = 206,696.20 : x
  2. Step 2: Convert to fraction form
    339,957.40/509,498.70 = 206,696.20/x
  3. Step 3: Cross multiply
    339,957.40x = 509,498.70 × 206,696.20
  4. Step 4: Simplify right side
    339,957.40x = 105,311,445,194.94
  5. Step 5: Solve for x
    x = 105,311,445,194.94/339,957.40
  6. Step 6: Final answer
    x = 309,778.36

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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.