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Finding the Fourth Proportional to 693,376, 1,040,064 and 168,064

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Solution

The fourth proportional to 693,376, 1,040,064 and 168,064 is: 252,096

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,376 : 1,040,064 = 168,064 : x
  2. Step 2: Convert to fraction form
    693,376/1,040,064 = 168,064/x
  3. Step 3: Cross multiply
    693,376x = 1,040,064 × 168,064
  4. Step 4: Simplify right side
    693,376x = 174,797,316,096
  5. Step 5: Solve for x
    x = 174,797,316,096/693,376
  6. Step 6: Final answer
    x = 252,096

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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.