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Finding the Fourth Proportional to 397,361.87, 596,063.40 and 131,143.14

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Solution

The fourth proportional to 397,361.87, 596,063.40 and 131,143.14 is: 196,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,361.87 : 596,063.40 = 131,143.14 : x
  2. Step 2: Convert to fraction form
    397,361.87/596,063.40 = 131,143.14/x
  3. Step 3: Cross multiply
    397,361.87x = 596,063.40 × 131,143.14
  4. Step 4: Simplify right side
    397,361.87x = 78,169,625,915.08
  5. Step 5: Solve for x
    x = 78,169,625,915.08/397,361.87
  6. Step 6: Final answer
    x = 196,721.51

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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.