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Finding the Fourth Proportional to 276,807.69, 381,994.61 and 149,483.28

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Solution

The fourth proportional to 276,807.69, 381,994.61 and 149,483.28 is: 206,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,807.69 : 381,994.61 = 149,483.28 : x
  2. Step 2: Convert to fraction form
    276,807.69/381,994.61 = 149,483.28/x
  3. Step 3: Cross multiply
    276,807.69x = 381,994.61 × 149,483.28
  4. Step 4: Simplify right side
    276,807.69x = 57,101,807,245.12
  5. Step 5: Solve for x
    x = 57,101,807,245.12/276,807.69
  6. Step 6: Final answer
    x = 206,286.93

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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.