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Finding the Fourth Proportional to 547,278.52, 820,860 and 259,021.12

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Solution

The fourth proportional to 547,278.52, 820,860 and 259,021.12 is: 388,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,278.52 : 820,860 = 259,021.12 : x
  2. Step 2: Convert to fraction form
    547,278.52/820,860 = 259,021.12/x
  3. Step 3: Cross multiply
    547,278.52x = 820,860 × 259,021.12
  4. Step 4: Simplify right side
    547,278.52x = 212,620,076,563.20
  5. Step 5: Solve for x
    x = 212,620,076,563.20/547,278.52
  6. Step 6: Final answer
    x = 388,504.33

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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.