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Finding the Fourth Proportional to 276,992.21, 382,248.64 and 149,667.80

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Solution

The fourth proportional to 276,992.21, 382,248.64 and 149,667.80 is: 206,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,992.21 : 382,248.64 = 149,667.80 : x
  2. Step 2: Convert to fraction form
    276,992.21/382,248.64 = 149,667.80/x
  3. Step 3: Cross multiply
    276,992.21x = 382,248.64 × 149,667.80
  4. Step 4: Simplify right side
    276,992.21x = 57,210,313,848.72
  5. Step 5: Solve for x
    x = 57,210,313,848.72/276,992.21
  6. Step 6: Final answer
    x = 206,541.24

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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.