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Finding the Fourth Proportional to 513,778.44, 770,838.82 and 172,255.66

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Solution

The fourth proportional to 513,778.44, 770,838.82 and 172,255.66 is: 258,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,778.44 : 770,838.82 = 172,255.66 : x
  2. Step 2: Convert to fraction form
    513,778.44/770,838.82 = 172,255.66/x
  3. Step 3: Cross multiply
    513,778.44x = 770,838.82 × 172,255.66
  4. Step 4: Simplify right side
    513,778.44x = 132,781,349,692.72
  5. Step 5: Solve for x
    x = 132,781,349,692.72/513,778.44
  6. Step 6: Final answer
    x = 258,440.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.