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Finding the Fourth Proportional to 547,103.30, 755,128.52 and 320,821.70

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Solution

The fourth proportional to 547,103.30, 755,128.52 and 320,821.70 is: 442,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,103.30 : 755,128.52 = 320,821.70 : x
  2. Step 2: Convert to fraction form
    547,103.30/755,128.52 = 320,821.70/x
  3. Step 3: Cross multiply
    547,103.30x = 755,128.52 × 320,821.70
  4. Step 4: Simplify right side
    547,103.30x = 242,261,615,504.88
  5. Step 5: Solve for x
    x = 242,261,615,504.88/547,103.30
  6. Step 6: Final answer
    x = 442,807.81

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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.