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Finding the Fourth Proportional to 307,765.60, 461,259.60 and 274,328.80

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Solution

The fourth proportional to 307,765.60, 461,259.60 and 274,328.80 is: 411,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,765.60 : 461,259.60 = 274,328.80 : x
  2. Step 2: Convert to fraction form
    307,765.60/461,259.60 = 274,328.80/x
  3. Step 3: Cross multiply
    307,765.60x = 461,259.60 × 274,328.80
  4. Step 4: Simplify right side
    307,765.60x = 126,536,792,556.48
  5. Step 5: Solve for x
    x = 126,536,792,556.48/307,765.60
  6. Step 6: Final answer
    x = 411,146.64

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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.