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Finding the Fourth Proportional to 520,170, 780,255 and 146,193

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Solution

The fourth proportional to 520,170, 780,255 and 146,193 is: 219,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,170 : 780,255 = 146,193 : x
  2. Step 2: Convert to fraction form
    520,170/780,255 = 146,193/x
  3. Step 3: Cross multiply
    520,170x = 780,255 × 146,193
  4. Step 4: Simplify right side
    520,170x = 114,067,819,215
  5. Step 5: Solve for x
    x = 114,067,819,215/520,170
  6. Step 6: Final answer
    x = 219,289.50

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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.