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Finding the Fourth Proportional to 521,200.80, 783,471.60 and 484,221.60

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Solution

The fourth proportional to 521,200.80, 783,471.60 and 484,221.60 is: 727,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,200.80 : 783,471.60 = 484,221.60 : x
  2. Step 2: Convert to fraction form
    521,200.80/783,471.60 = 484,221.60/x
  3. Step 3: Cross multiply
    521,200.80x = 783,471.60 × 484,221.60
  4. Step 4: Simplify right side
    521,200.80x = 379,373,871,706.56
  5. Step 5: Solve for x
    x = 379,373,871,706.56/521,200.80
  6. Step 6: Final answer
    x = 727,884.29

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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.