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Finding the Fourth Proportional to 494,637.40, 741,912.90 and 162,213.40

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Solution

The fourth proportional to 494,637.40, 741,912.90 and 162,213.40 is: 243,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,637.40 : 741,912.90 = 162,213.40 : x
  2. Step 2: Convert to fraction form
    494,637.40/741,912.90 = 162,213.40/x
  3. Step 3: Cross multiply
    494,637.40x = 741,912.90 × 162,213.40
  4. Step 4: Simplify right side
    494,637.40x = 120,348,214,012.86
  5. Step 5: Solve for x
    x = 120,348,214,012.86/494,637.40
  6. Step 6: Final answer
    x = 243,305.93

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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.