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Finding the Fourth Proportional to 280,838.80, 421,258.20 and 174,550.60

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Solution

The fourth proportional to 280,838.80, 421,258.20 and 174,550.60 is: 261,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,838.80 : 421,258.20 = 174,550.60 : x
  2. Step 2: Convert to fraction form
    280,838.80/421,258.20 = 174,550.60/x
  3. Step 3: Cross multiply
    280,838.80x = 421,258.20 × 174,550.60
  4. Step 4: Simplify right side
    280,838.80x = 73,530,871,564.92
  5. Step 5: Solve for x
    x = 73,530,871,564.92/280,838.80
  6. Step 6: Final answer
    x = 261,825.90

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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.