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Finding the Fourth Proportional to 284,858.38, 393,203.45 and 164,047.78

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Solution

The fourth proportional to 284,858.38, 393,203.45 and 164,047.78 is: 226,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,858.38 : 393,203.45 = 164,047.78 : x
  2. Step 2: Convert to fraction form
    284,858.38/393,203.45 = 164,047.78/x
  3. Step 3: Cross multiply
    284,858.38x = 393,203.45 × 164,047.78
  4. Step 4: Simplify right side
    284,858.38x = 64,504,153,060.84
  5. Step 5: Solve for x
    x = 64,504,153,060.84/284,858.38
  6. Step 6: Final answer
    x = 226,442.88

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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.