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Finding the Fourth Proportional to 204,800.20, 307,200.30 and 57,056.20

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Solution

The fourth proportional to 204,800.20, 307,200.30 and 57,056.20 is: 85,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,800.20 : 307,200.30 = 57,056.20 : x
  2. Step 2: Convert to fraction form
    204,800.20/307,200.30 = 57,056.20/x
  3. Step 3: Cross multiply
    204,800.20x = 307,200.30 × 57,056.20
  4. Step 4: Simplify right side
    204,800.20x = 17,527,681,756.86
  5. Step 5: Solve for x
    x = 17,527,681,756.86/204,800.20
  6. Step 6: Final answer
    x = 85,584.30

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1.5x scale

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.