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Finding the Fourth Proportional to 523,170, 784,762.38 and 149,193

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Solution

The fourth proportional to 523,170, 784,762.38 and 149,193 is: 223,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,170 : 784,762.38 = 149,193 : x
  2. Step 2: Convert to fraction form
    523,170/784,762.38 = 149,193/x
  3. Step 3: Cross multiply
    523,170x = 784,762.38 × 149,193
  4. Step 4: Simplify right side
    523,170x = 117,081,053,759.34
  5. Step 5: Solve for x
    x = 117,081,053,759.34/523,170
  6. Step 6: Final answer
    x = 223,791.60

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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.