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Finding the Fourth Proportional to 276,800.10, 415,200.15 and 274,175.70

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Solution

The fourth proportional to 276,800.10, 415,200.15 and 274,175.70 is: 411,263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,800.10 : 415,200.15 = 274,175.70 : x
  2. Step 2: Convert to fraction form
    276,800.10/415,200.15 = 274,175.70/x
  3. Step 3: Cross multiply
    276,800.10x = 415,200.15 × 274,175.70
  4. Step 4: Simplify right side
    276,800.10x = 113,837,791,766.36
  5. Step 5: Solve for x
    x = 113,837,791,766.36/276,800.10
  6. Step 6: Final answer
    x = 411,263.55

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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.