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Finding the Fourth Proportional to 397,684.56, 596,400.48 and 131,395.44

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Solution

The fourth proportional to 397,684.56, 596,400.48 and 131,395.44 is: 197,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,684.56 : 596,400.48 = 131,395.44 : x
  2. Step 2: Convert to fraction form
    397,684.56/596,400.48 = 131,395.44/x
  3. Step 3: Cross multiply
    397,684.56x = 596,400.48 × 131,395.44
  4. Step 4: Simplify right side
    397,684.56x = 78,364,303,485.81
  5. Step 5: Solve for x
    x = 78,364,303,485.81/397,684.56
  6. Step 6: Final answer
    x = 197,051.41

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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.