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Finding the Fourth Proportional to 547,655.97, 755,738.24 and 305,890.41

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Solution

The fourth proportional to 547,655.97, 755,738.24 and 305,890.41 is: 422,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,655.97 : 755,738.24 = 305,890.41 : x
  2. Step 2: Convert to fraction form
    547,655.97/755,738.24 = 305,890.41/x
  3. Step 3: Cross multiply
    547,655.97x = 755,738.24 × 305,890.41
  4. Step 4: Simplify right side
    547,655.97x = 231,173,076,307.59
  5. Step 5: Solve for x
    x = 231,173,076,307.59/547,655.97
  6. Step 6: Final answer
    x = 422,113.68

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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.