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Finding the Fourth Proportional to 276,903.87, 382,127.69 and 149,579.47

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Solution

The fourth proportional to 276,903.87, 382,127.69 and 149,579.47 is: 206,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,903.87 : 382,127.69 = 149,579.47 : x
  2. Step 2: Convert to fraction form
    276,903.87/382,127.69 = 149,579.47/x
  3. Step 3: Cross multiply
    276,903.87x = 382,127.69 × 149,579.47
  4. Step 4: Simplify right side
    276,903.87x = 57,158,455,639.31
  5. Step 5: Solve for x
    x = 57,158,455,639.31/276,903.87
  6. Step 6: Final answer
    x = 206,419.85

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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.