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Finding the Fourth Proportional to 340,090.40, 509,698.20 and 206,829.20

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Solution

The fourth proportional to 340,090.40, 509,698.20 and 206,829.20 is: 309,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,090.40 : 509,698.20 = 206,829.20 : x
  2. Step 2: Convert to fraction form
    340,090.40/509,698.20 = 206,829.20/x
  3. Step 3: Cross multiply
    340,090.40x = 509,698.20 × 206,829.20
  4. Step 4: Simplify right side
    340,090.40x = 105,420,470,947.44
  5. Step 5: Solve for x
    x = 105,420,470,947.44/340,090.40
  6. Step 6: Final answer
    x = 309,977.79

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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.