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Finding the Fourth Proportional to 206,007.20, 308,719.20 and 180,929.60

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Solution

The fourth proportional to 206,007.20, 308,719.20 and 180,929.60 is: 271,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,007.20 : 308,719.20 = 180,929.60 : x
  2. Step 2: Convert to fraction form
    206,007.20/308,719.20 = 180,929.60/x
  3. Step 3: Cross multiply
    206,007.20x = 308,719.20 × 180,929.60
  4. Step 4: Simplify right side
    206,007.20x = 55,856,441,368.32
  5. Step 5: Solve for x
    x = 55,856,441,368.32/206,007.20
  6. Step 6: Final answer
    x = 271,138.30

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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.