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Finding the Fourth Proportional to 547,286.30, 820,929.45 and 547,286.30

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Solution

The fourth proportional to 547,286.30, 820,929.45 and 547,286.30 is: 820,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,286.30 : 820,929.45 = 547,286.30 : x
  2. Step 2: Convert to fraction form
    547,286.30/820,929.45 = 547,286.30/x
  3. Step 3: Cross multiply
    547,286.30x = 820,929.45 × 547,286.30
  4. Step 4: Simplify right side
    547,286.30x = 449,283,441,251.54
  5. Step 5: Solve for x
    x = 449,283,441,251.54/547,286.30
  6. Step 6: Final answer
    x = 820,929.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.