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Finding the Fourth Proportional to 276,806.50, 381,992.98 and 149,482.10

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Solution

The fourth proportional to 276,806.50, 381,992.98 and 149,482.10 is: 206,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,806.50 : 381,992.98 = 149,482.10 : x
  2. Step 2: Convert to fraction form
    276,806.50/381,992.98 = 149,482.10/x
  3. Step 3: Cross multiply
    276,806.50x = 381,992.98 × 149,482.10
  4. Step 4: Simplify right side
    276,806.50x = 57,101,112,835.66
  5. Step 5: Solve for x
    x = 57,101,112,835.66/276,806.50
  6. Step 6: Final answer
    x = 206,285.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.