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Finding the Fourth Proportional to 276,907.30, 415,032.90 and 206,704.60

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Solution

The fourth proportional to 276,907.30, 415,032.90 and 206,704.60 is: 309,812.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,907.30 : 415,032.90 = 206,704.60 : x
  2. Step 2: Convert to fraction form
    276,907.30/415,032.90 = 206,704.60/x
  3. Step 3: Cross multiply
    276,907.30x = 415,032.90 × 206,704.60
  4. Step 4: Simplify right side
    276,907.30x = 85,789,209,581.34
  5. Step 5: Solve for x
    x = 85,789,209,581.34/276,907.30
  6. Step 6: Final answer
    x = 309,812.02

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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.