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Finding the Fourth Proportional to 403,786.60, 605,461.20 and 166,861.60

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Solution

The fourth proportional to 403,786.60, 605,461.20 and 166,861.60 is: 250,202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,786.60 : 605,461.20 = 166,861.60 : x
  2. Step 2: Convert to fraction form
    403,786.60/605,461.20 = 166,861.60/x
  3. Step 3: Cross multiply
    403,786.60x = 605,461.20 × 166,861.60
  4. Step 4: Simplify right side
    403,786.60x = 101,028,224,569.92
  5. Step 5: Solve for x
    x = 101,028,224,569.92/403,786.60
  6. Step 6: Final answer
    x = 250,202.02

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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.