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Finding the Fourth Proportional to 389,200.80, 583,995.60 and 220,850.40

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Solution

The fourth proportional to 389,200.80, 583,995.60 and 220,850.40 is: 331,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,200.80 : 583,995.60 = 220,850.40 : x
  2. Step 2: Convert to fraction form
    389,200.80/583,995.60 = 220,850.40/x
  3. Step 3: Cross multiply
    389,200.80x = 583,995.60 × 220,850.40
  4. Step 4: Simplify right side
    389,200.80x = 128,975,661,858.24
  5. Step 5: Solve for x
    x = 128,975,661,858.24/389,200.80
  6. Step 6: Final answer
    x = 331,385.91

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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.