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Finding the Fourth Proportional to 419,701.32, 629,641.94 and 135,408.06

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Solution

The fourth proportional to 419,701.32, 629,641.94 and 135,408.06 is: 203,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,701.32 : 629,641.94 = 135,408.06 : x
  2. Step 2: Convert to fraction form
    419,701.32/629,641.94 = 135,408.06/x
  3. Step 3: Cross multiply
    419,701.32x = 629,641.94 × 135,408.06
  4. Step 4: Simplify right side
    419,701.32x = 85,258,592,913.00
  5. Step 5: Solve for x
    x = 85,258,592,913.00/419,701.32
  6. Step 6: Final answer
    x = 203,141.11

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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.