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Finding the Fourth Proportional to 413,406.72, 620,049.60 and 197,216.64

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Solution

The fourth proportional to 413,406.72, 620,049.60 and 197,216.64 is: 295,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,406.72 : 620,049.60 = 197,216.64 : x
  2. Step 2: Convert to fraction form
    413,406.72/620,049.60 = 197,216.64/x
  3. Step 3: Cross multiply
    413,406.72x = 620,049.60 × 197,216.64
  4. Step 4: Simplify right side
    413,406.72x = 122,284,098,745.34
  5. Step 5: Solve for x
    x = 122,284,098,745.34/413,406.72
  6. Step 6: Final answer
    x = 295,796.11

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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.