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Finding the Fourth Proportional to 276,906.30, 415,031.40 and 206,703.60

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Solution

The fourth proportional to 276,906.30, 415,031.40 and 206,703.60 is: 309,810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,906.30 : 415,031.40 = 206,703.60 : x
  2. Step 2: Convert to fraction form
    276,906.30/415,031.40 = 206,703.60/x
  3. Step 3: Cross multiply
    276,906.30x = 415,031.40 × 206,703.60
  4. Step 4: Simplify right side
    276,906.30x = 85,788,484,493.04
  5. Step 5: Solve for x
    x = 85,788,484,493.04/276,906.30
  6. Step 6: Final answer
    x = 309,810.52

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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.