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Finding the Fourth Proportional to 276,904.80, 415,029.15 and 206,702.10

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Solution

The fourth proportional to 276,904.80, 415,029.15 and 206,702.10 is: 309,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,904.80 : 415,029.15 = 206,702.10 : x
  2. Step 2: Convert to fraction form
    276,904.80/415,029.15 = 206,702.10/x
  3. Step 3: Cross multiply
    276,904.80x = 415,029.15 × 206,702.10
  4. Step 4: Simplify right side
    276,904.80x = 85,787,396,866.22
  5. Step 5: Solve for x
    x = 85,787,396,866.22/276,904.80
  6. Step 6: Final answer
    x = 309,808.27

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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.