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Finding the Fourth Proportional to 542,469.43, 748,652.17 and 300,827.80

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Solution

The fourth proportional to 542,469.43, 748,652.17 and 300,827.80 is: 415,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,469.43 : 748,652.17 = 300,827.80 : x
  2. Step 2: Convert to fraction form
    542,469.43/748,652.17 = 300,827.80/x
  3. Step 3: Cross multiply
    542,469.43x = 748,652.17 × 300,827.80
  4. Step 4: Simplify right side
    542,469.43x = 225,215,381,523.07
  5. Step 5: Solve for x
    x = 225,215,381,523.07/542,469.43
  6. Step 6: Final answer
    x = 415,166.96

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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.