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Finding the Fourth Proportional to 547,197.78, 822,042.21 and 395,861.64

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Solution

The fourth proportional to 547,197.78, 822,042.21 and 395,861.64 is: 594,693.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,197.78 : 822,042.21 = 395,861.64 : x
  2. Step 2: Convert to fraction form
    547,197.78/822,042.21 = 395,861.64/x
  3. Step 3: Cross multiply
    547,197.78x = 822,042.21 × 395,861.64
  4. Step 4: Simplify right side
    547,197.78x = 325,414,977,399.82
  5. Step 5: Solve for x
    x = 325,414,977,399.82/547,197.78
  6. Step 6: Final answer
    x = 594,693.53

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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.