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Finding the Fourth Proportional to 494,160, 682,014 and 312,888.78

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Solution

The fourth proportional to 494,160, 682,014 and 312,888.78 is: 431,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,160 : 682,014 = 312,888.78 : x
  2. Step 2: Convert to fraction form
    494,160/682,014 = 312,888.78/x
  3. Step 3: Cross multiply
    494,160x = 682,014 × 312,888.78
  4. Step 4: Simplify right side
    494,160x = 213,394,528,402.92
  5. Step 5: Solve for x
    x = 213,394,528,402.92/494,160
  6. Step 6: Final answer
    x = 431,832.86

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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.