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Finding the Fourth Proportional to 276,903.94, 382,127.77 and 149,579.53

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Solution

The fourth proportional to 276,903.94, 382,127.77 and 149,579.53 is: 206,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,903.94 : 382,127.77 = 149,579.53 : x
  2. Step 2: Convert to fraction form
    276,903.94/382,127.77 = 149,579.53/x
  3. Step 3: Cross multiply
    276,903.94x = 382,127.77 × 149,579.53
  4. Step 4: Simplify right side
    276,903.94x = 57,158,491,945.86
  5. Step 5: Solve for x
    x = 57,158,491,945.86/276,903.94
  6. Step 6: Final answer
    x = 206,419.93

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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.