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Finding the Fourth Proportional to 284,911.74, 393,197.76 and 164,084.85

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Solution

The fourth proportional to 284,911.74, 393,197.76 and 164,084.85 is: 226,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,911.74 : 393,197.76 = 164,084.85 : x
  2. Step 2: Convert to fraction form
    284,911.74/393,197.76 = 164,084.85/x
  3. Step 3: Cross multiply
    284,911.74x = 393,197.76 × 164,084.85
  4. Step 4: Simplify right side
    284,911.74x = 64,517,795,469.94
  5. Step 5: Solve for x
    x = 64,517,795,469.94/284,911.74
  6. Step 6: Final answer
    x = 226,448.36

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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.