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Finding the Fourth Proportional to 397,913.22, 596,943.66 and 131,676

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Solution

The fourth proportional to 397,913.22, 596,943.66 and 131,676 is: 197,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,913.22 : 596,943.66 = 131,676 : x
  2. Step 2: Convert to fraction form
    397,913.22/596,943.66 = 131,676/x
  3. Step 3: Cross multiply
    397,913.22x = 596,943.66 × 131,676
  4. Step 4: Simplify right side
    397,913.22x = 78,603,153,374.16
  5. Step 5: Solve for x
    x = 78,603,153,374.16/397,913.22
  6. Step 6: Final answer
    x = 197,538.43

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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.