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Finding the Fourth Proportional to 419,059.36, 628,647.72 and 134,654.32

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Solution

The fourth proportional to 419,059.36, 628,647.72 and 134,654.32 is: 202,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,059.36 : 628,647.72 = 134,654.32 : x
  2. Step 2: Convert to fraction form
    419,059.36/628,647.72 = 134,654.32/x
  3. Step 3: Cross multiply
    419,059.36x = 628,647.72 × 134,654.32
  4. Step 4: Simplify right side
    419,059.36x = 84,650,131,256.15
  5. Step 5: Solve for x
    x = 84,650,131,256.15/419,059.36
  6. Step 6: Final answer
    x = 202,000.34

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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.