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Finding the Fourth Proportional to 307,764.60, 461,258.10 and 274,327.80

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Solution

The fourth proportional to 307,764.60, 461,258.10 and 274,327.80 is: 411,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,764.60 : 461,258.10 = 274,327.80 : x
  2. Step 2: Convert to fraction form
    307,764.60/461,258.10 = 274,327.80/x
  3. Step 3: Cross multiply
    307,764.60x = 461,258.10 × 274,327.80
  4. Step 4: Simplify right side
    307,764.60x = 126,535,919,805.18
  5. Step 5: Solve for x
    x = 126,535,919,805.18/307,764.60
  6. Step 6: Final answer
    x = 411,145.14

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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.