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Finding the Fourth Proportional to 346,076.80, 518,078.40 and 205,763.20

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Solution

The fourth proportional to 346,076.80, 518,078.40 and 205,763.20 is: 308,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,076.80 : 518,078.40 = 205,763.20 : x
  2. Step 2: Convert to fraction form
    346,076.80/518,078.40 = 205,763.20/x
  3. Step 3: Cross multiply
    346,076.80x = 518,078.40 × 205,763.20
  4. Step 4: Simplify right side
    346,076.80x = 106,601,469,434.88
  5. Step 5: Solve for x
    x = 106,601,469,434.88/346,076.80
  6. Step 6: Final answer
    x = 308,028.36

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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.