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Finding the Fourth Proportional to 276,806.76, 381,993.31 and 149,482.35

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Solution

The fourth proportional to 276,806.76, 381,993.31 and 149,482.35 is: 206,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,806.76 : 381,993.31 = 149,482.35 : x
  2. Step 2: Convert to fraction form
    276,806.76/381,993.31 = 149,482.35/x
  3. Step 3: Cross multiply
    276,806.76x = 381,993.31 × 149,482.35
  4. Step 4: Simplify right side
    276,806.76x = 57,101,257,663.08
  5. Step 5: Solve for x
    x = 57,101,257,663.08/276,806.76
  6. Step 6: Final answer
    x = 206,285.63

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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.