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Finding the Fourth Proportional to 284,939.76, 393,132.25 and 164,077.94

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Solution

The fourth proportional to 284,939.76, 393,132.25 and 164,077.94 is: 226,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,939.76 : 393,132.25 = 164,077.94 : x
  2. Step 2: Convert to fraction form
    284,939.76/393,132.25 = 164,077.94/x
  3. Step 3: Cross multiply
    284,939.76x = 393,132.25 × 164,077.94
  4. Step 4: Simplify right side
    284,939.76x = 64,504,329,727.57
  5. Step 5: Solve for x
    x = 64,504,329,727.57/284,939.76
  6. Step 6: Final answer
    x = 226,378.83

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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.