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Finding the Fourth Proportional to 276,807.88, 381,994.87 and 149,483.47

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Solution

The fourth proportional to 276,807.88, 381,994.87 and 149,483.47 is: 206,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,807.88 : 381,994.87 = 149,483.47 : x
  2. Step 2: Convert to fraction form
    276,807.88/381,994.87 = 149,483.47/x
  3. Step 3: Cross multiply
    276,807.88x = 381,994.87 × 149,483.47
  4. Step 4: Simplify right side
    276,807.88x = 57,101,918,689.80
  5. Step 5: Solve for x
    x = 57,101,918,689.80/276,807.88
  6. Step 6: Final answer
    x = 206,287.19

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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.