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Finding the Fourth Proportional to 276,806.51, 381,992.97 and 149,482.10

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Solution

The fourth proportional to 276,806.51, 381,992.97 and 149,482.10 is: 206,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,806.51 : 381,992.97 = 149,482.10 : x
  2. Step 2: Convert to fraction form
    276,806.51/381,992.97 = 149,482.10/x
  3. Step 3: Cross multiply
    276,806.51x = 381,992.97 × 149,482.10
  4. Step 4: Simplify right side
    276,806.51x = 57,101,109,430.87
  5. Step 5: Solve for x
    x = 57,101,109,430.87/276,806.51
  6. Step 6: Final answer
    x = 206,285.29

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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.