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Finding the Fourth Proportional to 397,381.53, 548,410.40 and 234,146.80

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Solution

The fourth proportional to 397,381.53, 548,410.40 and 234,146.80 is: 323,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,381.53 : 548,410.40 = 234,146.80 : x
  2. Step 2: Convert to fraction form
    397,381.53/548,410.40 = 234,146.80/x
  3. Step 3: Cross multiply
    397,381.53x = 548,410.40 × 234,146.80
  4. Step 4: Simplify right side
    397,381.53x = 128,408,540,639.55
  5. Step 5: Solve for x
    x = 128,408,540,639.55/397,381.53
  6. Step 6: Final answer
    x = 323,136.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.