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Finding the Fourth Proportional to 284,914.74, 393,201.90 and 164,087.85

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Solution

The fourth proportional to 284,914.74, 393,201.90 and 164,087.85 is: 226,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,914.74 : 393,201.90 = 164,087.85 : x
  2. Step 2: Convert to fraction form
    284,914.74/393,201.90 = 164,087.85/x
  3. Step 3: Cross multiply
    284,914.74x = 393,201.90 × 164,087.85
  4. Step 4: Simplify right side
    284,914.74x = 64,519,654,386.92
  5. Step 5: Solve for x
    x = 64,519,654,386.92/284,914.74
  6. Step 6: Final answer
    x = 226,452.50

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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.