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Finding the Fourth Proportional to 547,102.62, 755,127.57 and 320,821.02

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Solution

The fourth proportional to 547,102.62, 755,127.57 and 320,821.02 is: 442,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,102.62 : 755,127.57 = 320,821.02 : x
  2. Step 2: Convert to fraction form
    547,102.62/755,127.57 = 320,821.02/x
  3. Step 3: Cross multiply
    547,102.62x = 755,127.57 × 320,821.02
  4. Step 4: Simplify right side
    547,102.62x = 242,260,797,237.52
  5. Step 5: Solve for x
    x = 242,260,797,237.52/547,102.62
  6. Step 6: Final answer
    x = 442,806.87

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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.