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Finding the Fourth Proportional to 621,761.12, 932,408.40 and 200,924

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Solution

The fourth proportional to 621,761.12, 932,408.40 and 200,924 is: 301,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,761.12 : 932,408.40 = 200,924 : x
  2. Step 2: Convert to fraction form
    621,761.12/932,408.40 = 200,924/x
  3. Step 3: Cross multiply
    621,761.12x = 932,408.40 × 200,924
  4. Step 4: Simplify right side
    621,761.12x = 187,343,225,361.60
  5. Step 5: Solve for x
    x = 187,343,225,361.60/621,761.12
  6. Step 6: Final answer
    x = 301,310.61

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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.