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Finding the Fourth Proportional to 339,970.40, 509,518.20 and 206,709.20

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Solution

The fourth proportional to 339,970.40, 509,518.20 and 206,709.20 is: 309,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,970.40 : 509,518.20 = 206,709.20 : x
  2. Step 2: Convert to fraction form
    339,970.40/509,518.20 = 206,709.20/x
  3. Step 3: Cross multiply
    339,970.40x = 509,518.20 × 206,709.20
  4. Step 4: Simplify right side
    339,970.40x = 105,322,099,507.44
  5. Step 5: Solve for x
    x = 105,322,099,507.44/339,970.40
  6. Step 6: Final answer
    x = 309,797.85

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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.