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Finding the Fourth Proportional to 547,103.26, 755,128.47 and 320,821.66

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Solution

The fourth proportional to 547,103.26, 755,128.47 and 320,821.66 is: 442,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,103.26 : 755,128.47 = 320,821.66 : x
  2. Step 2: Convert to fraction form
    547,103.26/755,128.47 = 320,821.66/x
  3. Step 3: Cross multiply
    547,103.26x = 755,128.47 × 320,821.66
  4. Step 4: Simplify right side
    547,103.26x = 242,261,569,258.66
  5. Step 5: Solve for x
    x = 242,261,569,258.66/547,103.26
  6. Step 6: Final answer
    x = 442,807.76

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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.