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Finding the Fourth Proportional to 403,780.60, 605,452.20 and 166,855.60

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Solution

The fourth proportional to 403,780.60, 605,452.20 and 166,855.60 is: 250,193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,780.60 : 605,452.20 = 166,855.60 : x
  2. Step 2: Convert to fraction form
    403,780.60/605,452.20 = 166,855.60/x
  3. Step 3: Cross multiply
    403,780.60x = 605,452.20 × 166,855.60
  4. Step 4: Simplify right side
    403,780.60x = 101,023,090,102.32
  5. Step 5: Solve for x
    x = 101,023,090,102.32/403,780.60
  6. Step 6: Final answer
    x = 250,193.03

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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.