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Finding the Fourth Proportional to 397,297.72, 596,019.89 and 131,076.64

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Solution

The fourth proportional to 397,297.72, 596,019.89 and 131,076.64 is: 196,639.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,297.72 : 596,019.89 = 131,076.64 : x
  2. Step 2: Convert to fraction form
    397,297.72/596,019.89 = 131,076.64/x
  3. Step 3: Cross multiply
    397,297.72x = 596,019.89 × 131,076.64
  4. Step 4: Simplify right side
    397,297.72x = 78,124,284,554.37
  5. Step 5: Solve for x
    x = 78,124,284,554.37/397,297.72
  6. Step 6: Final answer
    x = 196,639.15

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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.