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Finding the Fourth Proportional to 547,781.68, 755,933.52 and 306,105.88

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Solution

The fourth proportional to 547,781.68, 755,933.52 and 306,105.88 is: 422,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,781.68 : 755,933.52 = 306,105.88 : x
  2. Step 2: Convert to fraction form
    547,781.68/755,933.52 = 306,105.88/x
  3. Step 3: Cross multiply
    547,781.68x = 755,933.52 × 306,105.88
  4. Step 4: Simplify right side
    547,781.68x = 231,395,695,361.10
  5. Step 5: Solve for x
    x = 231,395,695,361.10/547,781.68
  6. Step 6: Final answer
    x = 422,423.21

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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.