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Finding the Fourth Proportional to 284,960.80, 427,441.20 and 271,838.80

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Solution

The fourth proportional to 284,960.80, 427,441.20 and 271,838.80 is: 407,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,960.80 : 427,441.20 = 271,838.80 : x
  2. Step 2: Convert to fraction form
    284,960.80/427,441.20 = 271,838.80/x
  3. Step 3: Cross multiply
    284,960.80x = 427,441.20 × 271,838.80
  4. Step 4: Simplify right side
    284,960.80x = 116,195,102,878.56
  5. Step 5: Solve for x
    x = 116,195,102,878.56/284,960.80
  6. Step 6: Final answer
    x = 407,758.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.