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Finding the Fourth Proportional to 284,764.40, 392,993.40 and 163,920.56

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Solution

The fourth proportional to 284,764.40, 392,993.40 and 163,920.56 is: 226,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,764.40 : 392,993.40 = 163,920.56 : x
  2. Step 2: Convert to fraction form
    284,764.40/392,993.40 = 163,920.56/x
  3. Step 3: Cross multiply
    284,764.40x = 392,993.40 × 163,920.56
  4. Step 4: Simplify right side
    284,764.40x = 64,419,698,204.30
  5. Step 5: Solve for x
    x = 64,419,698,204.30/284,764.40
  6. Step 6: Final answer
    x = 226,221.04

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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.