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Finding the Fourth Proportional to 329,238.72, 454,334.40 and 201,893.76

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Solution

The fourth proportional to 329,238.72, 454,334.40 and 201,893.76 is: 278,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,238.72 : 454,334.40 = 201,893.76 : x
  2. Step 2: Convert to fraction form
    329,238.72/454,334.40 = 201,893.76/x
  3. Step 3: Cross multiply
    329,238.72x = 454,334.40 × 201,893.76
  4. Step 4: Simplify right side
    329,238.72x = 91,727,280,313.34
  5. Step 5: Solve for x
    x = 91,727,280,313.34/329,238.72
  6. Step 6: Final answer
    x = 278,604.17

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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.